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Finding the Fourth Proportional to 10,555.52, 15,822.10 and 3,978.88

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Solution

The fourth proportional to 10,555.52, 15,822.10 and 3,978.88 is: 5,964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.52 : 15,822.10 = 3,978.88 : x
  2. Step 2: Convert to fraction form
    10,555.52/15,822.10 = 3,978.88/x
  3. Step 3: Cross multiply
    10,555.52x = 15,822.10 × 3,978.88
  4. Step 4: Simplify right side
    10,555.52x = 62,954,237.25
  5. Step 5: Solve for x
    x = 62,954,237.25/10,555.52
  6. Step 6: Final answer
    x = 5,964.11

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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.