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Finding the Fourth Proportional to 51,528, 77,292 and 12,616

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Solution

The fourth proportional to 51,528, 77,292 and 12,616 is: 18,924

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,528 : 77,292 = 12,616 : x
  2. Step 2: Convert to fraction form
    51,528/77,292 = 12,616/x
  3. Step 3: Cross multiply
    51,528x = 77,292 × 12,616
  4. Step 4: Simplify right side
    51,528x = 975,115,872
  5. Step 5: Solve for x
    x = 975,115,872/51,528
  6. Step 6: Final answer
    x = 18,924

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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.