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Finding the Fourth Proportional to 5,103.68, 7,655.68 and 1,641.28

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Solution

The fourth proportional to 5,103.68, 7,655.68 and 1,641.28 is: 2,461.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.68 : 7,655.68 = 1,641.28 : x
  2. Step 2: Convert to fraction form
    5,103.68/7,655.68 = 1,641.28/x
  3. Step 3: Cross multiply
    5,103.68x = 7,655.68 × 1,641.28
  4. Step 4: Simplify right side
    5,103.68x = 12,565,114.47
  5. Step 5: Solve for x
    x = 12,565,114.47/5,103.68
  6. Step 6: Final answer
    x = 2,461.97

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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.