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Finding the Fourth Proportional to 10,558, 15,837.20 and 3,987.28

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Solution

The fourth proportional to 10,558, 15,837.20 and 3,987.28 is: 5,981.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558 : 15,837.20 = 3,987.28 : x
  2. Step 2: Convert to fraction form
    10,558/15,837.20 = 3,987.28/x
  3. Step 3: Cross multiply
    10,558x = 15,837.20 × 3,987.28
  4. Step 4: Simplify right side
    10,558x = 63,147,350.82
  5. Step 5: Solve for x
    x = 63,147,350.82/10,558
  6. Step 6: Final answer
    x = 5,981.00

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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.