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Finding the Fourth Proportional to 6,449.87, 9,658.47 and 5,407.13

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Solution

The fourth proportional to 6,449.87, 9,658.47 and 5,407.13 is: 8,097.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.87 : 9,658.47 = 5,407.13 : x
  2. Step 2: Convert to fraction form
    6,449.87/9,658.47 = 5,407.13/x
  3. Step 3: Cross multiply
    6,449.87x = 9,658.47 × 5,407.13
  4. Step 4: Simplify right side
    6,449.87x = 52,224,602.89
  5. Step 5: Solve for x
    x = 52,224,602.89/6,449.87
  6. Step 6: Final answer
    x = 8,097.00

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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.