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Finding the Fourth Proportional to 11,177.54, 15,425 and 6,141.90

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Solution

The fourth proportional to 11,177.54, 15,425 and 6,141.90 is: 8,475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.54 : 15,425 = 6,141.90 : x
  2. Step 2: Convert to fraction form
    11,177.54/15,425 = 6,141.90/x
  3. Step 3: Cross multiply
    11,177.54x = 15,425 × 6,141.90
  4. Step 4: Simplify right side
    11,177.54x = 94,738,807.50
  5. Step 5: Solve for x
    x = 94,738,807.50/11,177.54
  6. Step 6: Final answer
    x = 8,475.82

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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.