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Finding the Fourth Proportional to 9,187.86, 13,781.05 and 2,946.21

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Solution

The fourth proportional to 9,187.86, 13,781.05 and 2,946.21 is: 4,419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.86 : 13,781.05 = 2,946.21 : x
  2. Step 2: Convert to fraction form
    9,187.86/13,781.05 = 2,946.21/x
  3. Step 3: Cross multiply
    9,187.86x = 13,781.05 × 2,946.21
  4. Step 4: Simplify right side
    9,187.86x = 40,601,867.32
  5. Step 5: Solve for x
    x = 40,601,867.32/9,187.86
  6. Step 6: Final answer
    x = 4,419.08

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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.