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Finding the Fourth Proportional to 6,781.27, 9,368.85 and 6,412.18

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Solution

The fourth proportional to 6,781.27, 9,368.85 and 6,412.18 is: 8,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.27 : 9,368.85 = 6,412.18 : x
  2. Step 2: Convert to fraction form
    6,781.27/9,368.85 = 6,412.18/x
  3. Step 3: Cross multiply
    6,781.27x = 9,368.85 × 6,412.18
  4. Step 4: Simplify right side
    6,781.27x = 60,074,752.59
  5. Step 5: Solve for x
    x = 60,074,752.59/6,781.27
  6. Step 6: Final answer
    x = 8,858.92

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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.