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Finding the Fourth Proportional to 10,909.71, 16,364.55 and 3,514.74

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Solution

The fourth proportional to 10,909.71, 16,364.55 and 3,514.74 is: 5,272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.71 : 16,364.55 = 3,514.74 : x
  2. Step 2: Convert to fraction form
    10,909.71/16,364.55 = 3,514.74/x
  3. Step 3: Cross multiply
    10,909.71x = 16,364.55 × 3,514.74
  4. Step 4: Simplify right side
    10,909.71x = 57,517,138.47
  5. Step 5: Solve for x
    x = 57,517,138.47/10,909.71
  6. Step 6: Final answer
    x = 5,272.11

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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.