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Finding the Fourth Proportional to 27,177.85, 40,774.47 and 9,649.45

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Solution

The fourth proportional to 27,177.85, 40,774.47 and 9,649.45 is: 14,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,177.85 : 40,774.47 = 9,649.45 : x
  2. Step 2: Convert to fraction form
    27,177.85/40,774.47 = 9,649.45/x
  3. Step 3: Cross multiply
    27,177.85x = 40,774.47 × 9,649.45
  4. Step 4: Simplify right side
    27,177.85x = 393,451,209.54
  5. Step 5: Solve for x
    x = 393,451,209.54/27,177.85
  6. Step 6: Final answer
    x = 14,476.91

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