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Finding the Fourth Proportional to 7,144.59, 9,860.13 and 4,160.69

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Solution

The fourth proportional to 7,144.59, 9,860.13 and 4,160.69 is: 5,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.59 : 9,860.13 = 4,160.69 : x
  2. Step 2: Convert to fraction form
    7,144.59/9,860.13 = 4,160.69/x
  3. Step 3: Cross multiply
    7,144.59x = 9,860.13 × 4,160.69
  4. Step 4: Simplify right side
    7,144.59x = 41,024,944.29
  5. Step 5: Solve for x
    x = 41,024,944.29/7,144.59
  6. Step 6: Final answer
    x = 5,742.10

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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.