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Finding the Fourth Proportional to 6,142.84, 8,470.42 and 4,149.93

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Solution

The fourth proportional to 6,142.84, 8,470.42 and 4,149.93 is: 5,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.84 : 8,470.42 = 4,149.93 : x
  2. Step 2: Convert to fraction form
    6,142.84/8,470.42 = 4,149.93/x
  3. Step 3: Cross multiply
    6,142.84x = 8,470.42 × 4,149.93
  4. Step 4: Simplify right side
    6,142.84x = 35,151,694.80
  5. Step 5: Solve for x
    x = 35,151,694.80/6,142.84
  6. Step 6: Final answer
    x = 5,722.39

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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.