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Finding the Fourth Proportional to 6,421.40, 9,632.10 and 5,946.20

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Solution

The fourth proportional to 6,421.40, 9,632.10 and 5,946.20 is: 8,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.40 : 9,632.10 = 5,946.20 : x
  2. Step 2: Convert to fraction form
    6,421.40/9,632.10 = 5,946.20/x
  3. Step 3: Cross multiply
    6,421.40x = 9,632.10 × 5,946.20
  4. Step 4: Simplify right side
    6,421.40x = 57,274,393.02
  5. Step 5: Solve for x
    x = 57,274,393.02/6,421.40
  6. Step 6: Final answer
    x = 8,919.30

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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.