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Finding the Fourth Proportional to 21,403.68, 32,112 and 8,929.68

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Solution

The fourth proportional to 21,403.68, 32,112 and 8,929.68 is: 13,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,403.68 : 32,112 = 8,929.68 : x
  2. Step 2: Convert to fraction form
    21,403.68/32,112 = 8,929.68/x
  3. Step 3: Cross multiply
    21,403.68x = 32,112 × 8,929.68
  4. Step 4: Simplify right side
    21,403.68x = 286,749,884.16
  5. Step 5: Solve for x
    x = 286,749,884.16/21,403.68
  6. Step 6: Final answer
    x = 13,397.22

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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.