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Finding the Fourth Proportional to 10,616.64, 15,948 and 8,976.48

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Solution

The fourth proportional to 10,616.64, 15,948 and 8,976.48 is: 13,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.64 : 15,948 = 8,976.48 : x
  2. Step 2: Convert to fraction form
    10,616.64/15,948 = 8,976.48/x
  3. Step 3: Cross multiply
    10,616.64x = 15,948 × 8,976.48
  4. Step 4: Simplify right side
    10,616.64x = 143,156,903.04
  5. Step 5: Solve for x
    x = 143,156,903.04/10,616.64
  6. Step 6: Final answer
    x = 13,484.20

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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.