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Finding the Fourth Proportional to 10,640.80, 15,972.72 and 7,864.48

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Solution

The fourth proportional to 10,640.80, 15,972.72 and 7,864.48 is: 11,805.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.80 : 15,972.72 = 7,864.48 : x
  2. Step 2: Convert to fraction form
    10,640.80/15,972.72 = 7,864.48/x
  3. Step 3: Cross multiply
    10,640.80x = 15,972.72 × 7,864.48
  4. Step 4: Simplify right side
    10,640.80x = 125,617,136.99
  5. Step 5: Solve for x
    x = 125,617,136.99/10,640.80
  6. Step 6: Final answer
    x = 11,805.23

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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.