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Finding the Fourth Proportional to 9,781.77, 14,672.60 and 3,207.91

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Solution

The fourth proportional to 9,781.77, 14,672.60 and 3,207.91 is: 4,811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.77 : 14,672.60 = 3,207.91 : x
  2. Step 2: Convert to fraction form
    9,781.77/14,672.60 = 3,207.91/x
  3. Step 3: Cross multiply
    9,781.77x = 14,672.60 × 3,207.91
  4. Step 4: Simplify right side
    9,781.77x = 47,068,327.54
  5. Step 5: Solve for x
    x = 47,068,327.54/9,781.77
  6. Step 6: Final answer
    x = 4,811.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.