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Finding the Fourth Proportional to 10,853.42, 14,981.23 and 8,343.84

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Solution

The fourth proportional to 10,853.42, 14,981.23 and 8,343.84 is: 11,517.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.42 : 14,981.23 = 8,343.84 : x
  2. Step 2: Convert to fraction form
    10,853.42/14,981.23 = 8,343.84/x
  3. Step 3: Cross multiply
    10,853.42x = 14,981.23 × 8,343.84
  4. Step 4: Simplify right side
    10,853.42x = 125,000,902.86
  5. Step 5: Solve for x
    x = 125,000,902.86/10,853.42
  6. Step 6: Final answer
    x = 11,517.19

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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.