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Finding the Fourth Proportional to 10,978.92, 15,151.32 and 6,263.64

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Solution

The fourth proportional to 10,978.92, 15,151.32 and 6,263.64 is: 8,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.92 : 15,151.32 = 6,263.64 : x
  2. Step 2: Convert to fraction form
    10,978.92/15,151.32 = 6,263.64/x
  3. Step 3: Cross multiply
    10,978.92x = 15,151.32 × 6,263.64
  4. Step 4: Simplify right side
    10,978.92x = 94,902,414.00
  5. Step 5: Solve for x
    x = 94,902,414.00/10,978.92
  6. Step 6: Final answer
    x = 8,644.06

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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.