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Finding the Fourth Proportional to 7,534.71, 10,398.48 and 4,177.86

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Solution

The fourth proportional to 7,534.71, 10,398.48 and 4,177.86 is: 5,765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.71 : 10,398.48 = 4,177.86 : x
  2. Step 2: Convert to fraction form
    7,534.71/10,398.48 = 4,177.86/x
  3. Step 3: Cross multiply
    7,534.71x = 10,398.48 × 4,177.86
  4. Step 4: Simplify right side
    7,534.71x = 43,443,393.65
  5. Step 5: Solve for x
    x = 43,443,393.65/7,534.71
  6. Step 6: Final answer
    x = 5,765.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.