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Finding the Fourth Proportional to 9,878.40, 13,627.08 and 6,691.86

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Solution

The fourth proportional to 9,878.40, 13,627.08 and 6,691.86 is: 9,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.40 : 13,627.08 = 6,691.86 : x
  2. Step 2: Convert to fraction form
    9,878.40/13,627.08 = 6,691.86/x
  3. Step 3: Cross multiply
    9,878.40x = 13,627.08 × 6,691.86
  4. Step 4: Simplify right side
    9,878.40x = 91,190,511.57
  5. Step 5: Solve for x
    x = 91,190,511.57/9,878.40
  6. Step 6: Final answer
    x = 9,231.30

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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.