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Finding the Fourth Proportional to 10,914, 15,060.80 and 6,437.92

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Solution

The fourth proportional to 10,914, 15,060.80 and 6,437.92 is: 8,884.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914 : 15,060.80 = 6,437.92 : x
  2. Step 2: Convert to fraction form
    10,914/15,060.80 = 6,437.92/x
  3. Step 3: Cross multiply
    10,914x = 15,060.80 × 6,437.92
  4. Step 4: Simplify right side
    10,914x = 96,960,225.54
  5. Step 5: Solve for x
    x = 96,960,225.54/10,914
  6. Step 6: Final answer
    x = 8,884.02

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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.