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Finding the Fourth Proportional to 10,978.56, 15,148.20 and 6,261.96

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Solution

The fourth proportional to 10,978.56, 15,148.20 and 6,261.96 is: 8,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.56 : 15,148.20 = 6,261.96 : x
  2. Step 2: Convert to fraction form
    10,978.56/15,148.20 = 6,261.96/x
  3. Step 3: Cross multiply
    10,978.56x = 15,148.20 × 6,261.96
  4. Step 4: Simplify right side
    10,978.56x = 94,857,422.47
  5. Step 5: Solve for x
    x = 94,857,422.47/10,978.56
  6. Step 6: Final answer
    x = 8,640.24

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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.