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Finding the Fourth Proportional to 9,133.40, 13,700.10 and 7,165.10

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Solution

The fourth proportional to 9,133.40, 13,700.10 and 7,165.10 is: 10,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.40 : 13,700.10 = 7,165.10 : x
  2. Step 2: Convert to fraction form
    9,133.40/13,700.10 = 7,165.10/x
  3. Step 3: Cross multiply
    9,133.40x = 13,700.10 × 7,165.10
  4. Step 4: Simplify right side
    9,133.40x = 98,162,586.51
  5. Step 5: Solve for x
    x = 98,162,586.51/9,133.40
  6. Step 6: Final answer
    x = 10,747.65

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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.