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Finding the Fourth Proportional to 9,883.12, 13,621.62 and 8,616.28

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Solution

The fourth proportional to 9,883.12, 13,621.62 and 8,616.28 is: 11,875.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.12 : 13,621.62 = 8,616.28 : x
  2. Step 2: Convert to fraction form
    9,883.12/13,621.62 = 8,616.28/x
  3. Step 3: Cross multiply
    9,883.12x = 13,621.62 × 8,616.28
  4. Step 4: Simplify right side
    9,883.12x = 117,367,691.97
  5. Step 5: Solve for x
    x = 117,367,691.97/9,883.12
  6. Step 6: Final answer
    x = 11,875.57

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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.