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Finding the Fourth Proportional to 7,144.49, 9,859.17 and 3,957.65

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Solution

The fourth proportional to 7,144.49, 9,859.17 and 3,957.65 is: 5,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.49 : 9,859.17 = 3,957.65 : x
  2. Step 2: Convert to fraction form
    7,144.49/9,859.17 = 3,957.65/x
  3. Step 3: Cross multiply
    7,144.49x = 9,859.17 × 3,957.65
  4. Step 4: Simplify right side
    7,144.49x = 39,019,153.96
  5. Step 5: Solve for x
    x = 39,019,153.96/7,144.49
  6. Step 6: Final answer
    x = 5,461.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.