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Finding the Fourth Proportional to 11,770.70, 16,254.12 and 8,781.35

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Solution

The fourth proportional to 11,770.70, 16,254.12 and 8,781.35 is: 12,126.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.70 : 16,254.12 = 8,781.35 : x
  2. Step 2: Convert to fraction form
    11,770.70/16,254.12 = 8,781.35/x
  3. Step 3: Cross multiply
    11,770.70x = 16,254.12 × 8,781.35
  4. Step 4: Simplify right side
    11,770.70x = 142,733,035.39
  5. Step 5: Solve for x
    x = 142,733,035.39/11,770.70
  6. Step 6: Final answer
    x = 12,126.13

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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.