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Finding the Fourth Proportional to 8,591.72, 12,946.10 and 7,065.90

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Solution

The fourth proportional to 8,591.72, 12,946.10 and 7,065.90 is: 10,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,591.72 : 12,946.10 = 7,065.90 : x
  2. Step 2: Convert to fraction form
    8,591.72/12,946.10 = 7,065.90/x
  3. Step 3: Cross multiply
    8,591.72x = 12,946.10 × 7,065.90
  4. Step 4: Simplify right side
    8,591.72x = 91,475,847.99
  5. Step 5: Solve for x
    x = 91,475,847.99/8,591.72
  6. Step 6: Final answer
    x = 10,646.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.