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Finding the Fourth Proportional to 8,965.87, 13,446.07 and 7,206.70

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Solution

The fourth proportional to 8,965.87, 13,446.07 and 7,206.70 is: 10,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.87 : 13,446.07 = 7,206.70 : x
  2. Step 2: Convert to fraction form
    8,965.87/13,446.07 = 7,206.70/x
  3. Step 3: Cross multiply
    8,965.87x = 13,446.07 × 7,206.70
  4. Step 4: Simplify right side
    8,965.87x = 96,901,792.67
  5. Step 5: Solve for x
    x = 96,901,792.67/8,965.87
  6. Step 6: Final answer
    x = 10,807.85

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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.