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Finding the Fourth Proportional to 8,677.89, 13,022.02 and 7,972.07

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Solution

The fourth proportional to 8,677.89, 13,022.02 and 7,972.07 is: 11,962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.89 : 13,022.02 = 7,972.07 : x
  2. Step 2: Convert to fraction form
    8,677.89/13,022.02 = 7,972.07/x
  3. Step 3: Cross multiply
    8,677.89x = 13,022.02 × 7,972.07
  4. Step 4: Simplify right side
    8,677.89x = 103,812,454.98
  5. Step 5: Solve for x
    x = 103,812,454.98/8,677.89
  6. Step 6: Final answer
    x = 11,962.87

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1.5x scale

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.