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Finding the Fourth Proportional to 6,853.86, 10,254.87 and 6,439.14

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Solution

The fourth proportional to 6,853.86, 10,254.87 and 6,439.14 is: 9,634.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.86 : 10,254.87 = 6,439.14 : x
  2. Step 2: Convert to fraction form
    6,853.86/10,254.87 = 6,439.14/x
  3. Step 3: Cross multiply
    6,853.86x = 10,254.87 × 6,439.14
  4. Step 4: Simplify right side
    6,853.86x = 66,032,543.61
  5. Step 5: Solve for x
    x = 66,032,543.61/6,853.86
  6. Step 6: Final answer
    x = 9,634.36

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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.