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Finding the Fourth Proportional to 8,613.68, 11,878.80 and 6,851.12

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Solution

The fourth proportional to 8,613.68, 11,878.80 and 6,851.12 is: 9,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.68 : 11,878.80 = 6,851.12 : x
  2. Step 2: Convert to fraction form
    8,613.68/11,878.80 = 6,851.12/x
  3. Step 3: Cross multiply
    8,613.68x = 11,878.80 × 6,851.12
  4. Step 4: Simplify right side
    8,613.68x = 81,383,084.26
  5. Step 5: Solve for x
    x = 81,383,084.26/8,613.68
  6. Step 6: Final answer
    x = 9,448.12

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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.