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Finding the Fourth Proportional to 12,117.80, 18,167.10 and 6,645.80

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Solution

The fourth proportional to 12,117.80, 18,167.10 and 6,645.80 is: 9,963.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.80 : 18,167.10 = 6,645.80 : x
  2. Step 2: Convert to fraction form
    12,117.80/18,167.10 = 6,645.80/x
  3. Step 3: Cross multiply
    12,117.80x = 18,167.10 × 6,645.80
  4. Step 4: Simplify right side
    12,117.80x = 120,734,913.18
  5. Step 5: Solve for x
    x = 120,734,913.18/12,117.80
  6. Step 6: Final answer
    x = 9,963.44

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1.5x scale

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.