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Finding the Fourth Proportional to 5,154, 7,711.56 and 3,197.04

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Solution

The fourth proportional to 5,154, 7,711.56 and 3,197.04 is: 4,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154 : 7,711.56 = 3,197.04 : x
  2. Step 2: Convert to fraction form
    5,154/7,711.56 = 3,197.04/x
  3. Step 3: Cross multiply
    5,154x = 7,711.56 × 3,197.04
  4. Step 4: Simplify right side
    5,154x = 24,654,165.78
  5. Step 5: Solve for x
    x = 24,654,165.78/5,154
  6. Step 6: Final answer
    x = 4,783.50

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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.