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Finding the Fourth Proportional to 31,663.84, 47,478.20 and 12,957

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Solution

The fourth proportional to 31,663.84, 47,478.20 and 12,957 is: 19,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,663.84 : 47,478.20 = 12,957 : x
  2. Step 2: Convert to fraction form
    31,663.84/47,478.20 = 12,957/x
  3. Step 3: Cross multiply
    31,663.84x = 47,478.20 × 12,957
  4. Step 4: Simplify right side
    31,663.84x = 615,175,037.40
  5. Step 5: Solve for x
    x = 615,175,037.40/31,663.84
  6. Step 6: Final answer
    x = 19,428.31

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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.