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Finding the Fourth Proportional to 5,407.71, 8,102.98 and 3,064.78

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Solution

The fourth proportional to 5,407.71, 8,102.98 and 3,064.78 is: 4,592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.71 : 8,102.98 = 3,064.78 : x
  2. Step 2: Convert to fraction form
    5,407.71/8,102.98 = 3,064.78/x
  3. Step 3: Cross multiply
    5,407.71x = 8,102.98 × 3,064.78
  4. Step 4: Simplify right side
    5,407.71x = 24,833,851.04
  5. Step 5: Solve for x
    x = 24,833,851.04/5,407.71
  6. Step 6: Final answer
    x = 4,592.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.