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Finding the Fourth Proportional to 7,144.17, 9,860.97 and 5,020.20

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Solution

The fourth proportional to 7,144.17, 9,860.97 and 5,020.20 is: 6,929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.17 : 9,860.97 = 5,020.20 : x
  2. Step 2: Convert to fraction form
    7,144.17/9,860.97 = 5,020.20/x
  3. Step 3: Cross multiply
    7,144.17x = 9,860.97 × 5,020.20
  4. Step 4: Simplify right side
    7,144.17x = 49,504,041.59
  5. Step 5: Solve for x
    x = 49,504,041.59/7,144.17
  6. Step 6: Final answer
    x = 6,929.29

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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.