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Finding the Fourth Proportional to 5,456.64, 7,531.98 and 3,889.30

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Solution

The fourth proportional to 5,456.64, 7,531.98 and 3,889.30 is: 5,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.64 : 7,531.98 = 3,889.30 : x
  2. Step 2: Convert to fraction form
    5,456.64/7,531.98 = 3,889.30/x
  3. Step 3: Cross multiply
    5,456.64x = 7,531.98 × 3,889.30
  4. Step 4: Simplify right side
    5,456.64x = 29,294,129.81
  5. Step 5: Solve for x
    x = 29,294,129.81/5,456.64
  6. Step 6: Final answer
    x = 5,368.53

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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.