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Finding the Fourth Proportional to 6,129.68, 9,189.05 and 5,098.14

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Solution

The fourth proportional to 6,129.68, 9,189.05 and 5,098.14 is: 7,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.68 : 9,189.05 = 5,098.14 : x
  2. Step 2: Convert to fraction form
    6,129.68/9,189.05 = 5,098.14/x
  3. Step 3: Cross multiply
    6,129.68x = 9,189.05 × 5,098.14
  4. Step 4: Simplify right side
    6,129.68x = 46,847,037.88
  5. Step 5: Solve for x
    x = 46,847,037.88/6,129.68
  6. Step 6: Final answer
    x = 7,642.66

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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.