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Finding the Fourth Proportional to 18,712.16, 28,057.92 and 7,616

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Solution

The fourth proportional to 18,712.16, 28,057.92 and 7,616 is: 11,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,712.16 : 28,057.92 = 7,616 : x
  2. Step 2: Convert to fraction form
    18,712.16/28,057.92 = 7,616/x
  3. Step 3: Cross multiply
    18,712.16x = 28,057.92 × 7,616
  4. Step 4: Simplify right side
    18,712.16x = 213,689,118.72
  5. Step 5: Solve for x
    x = 213,689,118.72/18,712.16
  6. Step 6: Final answer
    x = 11,419.80

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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.