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Finding the Fourth Proportional to 8,402.68, 12,609.24 and 3,471.40

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Solution

The fourth proportional to 8,402.68, 12,609.24 and 3,471.40 is: 5,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.68 : 12,609.24 = 3,471.40 : x
  2. Step 2: Convert to fraction form
    8,402.68/12,609.24 = 3,471.40/x
  3. Step 3: Cross multiply
    8,402.68x = 12,609.24 × 3,471.40
  4. Step 4: Simplify right side
    8,402.68x = 43,771,715.74
  5. Step 5: Solve for x
    x = 43,771,715.74/8,402.68
  6. Step 6: Final answer
    x = 5,209.26

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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.