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Finding the Fourth Proportional to 21,068.64, 31,612.17 and 9,983.24

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Solution

The fourth proportional to 21,068.64, 31,612.17 and 9,983.24 is: 14,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,068.64 : 31,612.17 = 9,983.24 : x
  2. Step 2: Convert to fraction form
    21,068.64/31,612.17 = 9,983.24/x
  3. Step 3: Cross multiply
    21,068.64x = 31,612.17 × 9,983.24
  4. Step 4: Simplify right side
    21,068.64x = 315,591,746.93
  5. Step 5: Solve for x
    x = 315,591,746.93/21,068.64
  6. Step 6: Final answer
    x = 14,979.22

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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.