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Finding the Fourth Proportional to 27,311.58, 40,971.69 and 9,781.02

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Solution

The fourth proportional to 27,311.58, 40,971.69 and 9,781.02 is: 14,673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,311.58 : 40,971.69 = 9,781.02 : x
  2. Step 2: Convert to fraction form
    27,311.58/40,971.69 = 9,781.02/x
  3. Step 3: Cross multiply
    27,311.58x = 40,971.69 × 9,781.02
  4. Step 4: Simplify right side
    27,311.58x = 400,744,919.32
  5. Step 5: Solve for x
    x = 400,744,919.32/27,311.58
  6. Step 6: Final answer
    x = 14,673.08

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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.