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Finding the Fourth Proportional to 5,124.60, 7,671.96 and 3,897

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Solution

The fourth proportional to 5,124.60, 7,671.96 and 3,897 is: 5,834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.60 : 7,671.96 = 3,897 : x
  2. Step 2: Convert to fraction form
    5,124.60/7,671.96 = 3,897/x
  3. Step 3: Cross multiply
    5,124.60x = 7,671.96 × 3,897
  4. Step 4: Simplify right side
    5,124.60x = 29,897,628.12
  5. Step 5: Solve for x
    x = 29,897,628.12/5,124.60
  6. Step 6: Final answer
    x = 5,834.14

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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.