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Finding the Fourth Proportional to 10,872.63, 15,003.78 and 6,335.74

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Solution

The fourth proportional to 10,872.63, 15,003.78 and 6,335.74 is: 8,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.63 : 15,003.78 = 6,335.74 : x
  2. Step 2: Convert to fraction form
    10,872.63/15,003.78 = 6,335.74/x
  3. Step 3: Cross multiply
    10,872.63x = 15,003.78 × 6,335.74
  4. Step 4: Simplify right side
    10,872.63x = 95,060,017.42
  5. Step 5: Solve for x
    x = 95,060,017.42/10,872.63
  6. Step 6: Final answer
    x = 8,743.06

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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.