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Finding the Fourth Proportional to 21,402.64, 32,116.64 and 9,715.68

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Solution

The fourth proportional to 21,402.64, 32,116.64 and 9,715.68 is: 14,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.64 : 32,116.64 = 9,715.68 : x
  2. Step 2: Convert to fraction form
    21,402.64/32,116.64 = 9,715.68/x
  3. Step 3: Cross multiply
    21,402.64x = 32,116.64 × 9,715.68
  4. Step 4: Simplify right side
    21,402.64x = 312,034,996.92
  5. Step 5: Solve for x
    x = 312,034,996.92/21,402.64
  6. Step 6: Final answer
    x = 14,579.28

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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.