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Finding the Fourth Proportional to 11,381.76, 15,714.48 and 8,724.48

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Solution

The fourth proportional to 11,381.76, 15,714.48 and 8,724.48 is: 12,045.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.76 : 15,714.48 = 8,724.48 : x
  2. Step 2: Convert to fraction form
    11,381.76/15,714.48 = 8,724.48/x
  3. Step 3: Cross multiply
    11,381.76x = 15,714.48 × 8,724.48
  4. Step 4: Simplify right side
    11,381.76x = 137,100,666.47
  5. Step 5: Solve for x
    x = 137,100,666.47/11,381.76
  6. Step 6: Final answer
    x = 12,045.65

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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.