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Finding the Fourth Proportional to 8,459.62, 12,703.95 and 5,191.90

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Solution

The fourth proportional to 8,459.62, 12,703.95 and 5,191.90 is: 7,796.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.62 : 12,703.95 = 5,191.90 : x
  2. Step 2: Convert to fraction form
    8,459.62/12,703.95 = 5,191.90/x
  3. Step 3: Cross multiply
    8,459.62x = 12,703.95 × 5,191.90
  4. Step 4: Simplify right side
    8,459.62x = 65,957,638.01
  5. Step 5: Solve for x
    x = 65,957,638.01/8,459.62
  6. Step 6: Final answer
    x = 7,796.76

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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.