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Finding the Fourth Proportional to 15,775.28, 21,770 and 8,701.92

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Solution

The fourth proportional to 15,775.28, 21,770 and 8,701.92 is: 12,008.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,775.28 : 21,770 = 8,701.92 : x
  2. Step 2: Convert to fraction form
    15,775.28/21,770 = 8,701.92/x
  3. Step 3: Cross multiply
    15,775.28x = 21,770 × 8,701.92
  4. Step 4: Simplify right side
    15,775.28x = 189,440,798.40
  5. Step 5: Solve for x
    x = 189,440,798.40/15,775.28
  6. Step 6: Final answer
    x = 12,008.71

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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.