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Finding the Fourth Proportional to 51,384, 77,076 and 12,472

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Solution

The fourth proportional to 51,384, 77,076 and 12,472 is: 18,708

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,384 : 77,076 = 12,472 : x
  2. Step 2: Convert to fraction form
    51,384/77,076 = 12,472/x
  3. Step 3: Cross multiply
    51,384x = 77,076 × 12,472
  4. Step 4: Simplify right side
    51,384x = 961,291,872
  5. Step 5: Solve for x
    x = 961,291,872/51,384
  6. Step 6: Final answer
    x = 18,708

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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.