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Finding the Fourth Proportional to 10,144.64, 13,988 and 8,251.04

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Solution

The fourth proportional to 10,144.64, 13,988 and 8,251.04 is: 11,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.64 : 13,988 = 8,251.04 : x
  2. Step 2: Convert to fraction form
    10,144.64/13,988 = 8,251.04/x
  3. Step 3: Cross multiply
    10,144.64x = 13,988 × 8,251.04
  4. Step 4: Simplify right side
    10,144.64x = 115,415,547.52
  5. Step 5: Solve for x
    x = 115,415,547.52/10,144.64
  6. Step 6: Final answer
    x = 11,377.00

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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.