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Finding the Fourth Proportional to 21,472, 29,628.96 and 12,039.20

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Solution

The fourth proportional to 21,472, 29,628.96 and 12,039.20 is: 16,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,472 : 29,628.96 = 12,039.20 : x
  2. Step 2: Convert to fraction form
    21,472/29,628.96 = 12,039.20/x
  3. Step 3: Cross multiply
    21,472x = 29,628.96 × 12,039.20
  4. Step 4: Simplify right side
    21,472x = 356,708,975.23
  5. Step 5: Solve for x
    x = 356,708,975.23/21,472
  6. Step 6: Final answer
    x = 16,612.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.