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Finding the Fourth Proportional to 7,309.40, 10,964.10 and 7,266.20

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Solution

The fourth proportional to 7,309.40, 10,964.10 and 7,266.20 is: 10,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.40 : 10,964.10 = 7,266.20 : x
  2. Step 2: Convert to fraction form
    7,309.40/10,964.10 = 7,266.20/x
  3. Step 3: Cross multiply
    7,309.40x = 10,964.10 × 7,266.20
  4. Step 4: Simplify right side
    7,309.40x = 79,667,343.42
  5. Step 5: Solve for x
    x = 79,667,343.42/7,309.40
  6. Step 6: Final answer
    x = 10,899.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.