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Finding the Fourth Proportional to 12,101.88, 16,701.06 and 8,281.53

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Solution

The fourth proportional to 12,101.88, 16,701.06 and 8,281.53 is: 11,428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.88 : 16,701.06 = 8,281.53 : x
  2. Step 2: Convert to fraction form
    12,101.88/16,701.06 = 8,281.53/x
  3. Step 3: Cross multiply
    12,101.88x = 16,701.06 × 8,281.53
  4. Step 4: Simplify right side
    12,101.88x = 138,310,329.42
  5. Step 5: Solve for x
    x = 138,310,329.42/12,101.88
  6. Step 6: Final answer
    x = 11,428.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.