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Finding the Fourth Proportional to 12,853.76, 17,748.24 and 9,864.86

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Solution

The fourth proportional to 12,853.76, 17,748.24 and 9,864.86 is: 13,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.76 : 17,748.24 = 9,864.86 : x
  2. Step 2: Convert to fraction form
    12,853.76/17,748.24 = 9,864.86/x
  3. Step 3: Cross multiply
    12,853.76x = 17,748.24 × 9,864.86
  4. Step 4: Simplify right side
    12,853.76x = 175,083,902.85
  5. Step 5: Solve for x
    x = 175,083,902.85/12,853.76
  6. Step 6: Final answer
    x = 13,621.22

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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.