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Finding the Fourth Proportional to 12,143.90, 16,766.33 and 9,911.11

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Solution

The fourth proportional to 12,143.90, 16,766.33 and 9,911.11 is: 13,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.90 : 16,766.33 = 9,911.11 : x
  2. Step 2: Convert to fraction form
    12,143.90/16,766.33 = 9,911.11/x
  3. Step 3: Cross multiply
    12,143.90x = 16,766.33 × 9,911.11
  4. Step 4: Simplify right side
    12,143.90x = 166,172,807.54
  5. Step 5: Solve for x
    x = 166,172,807.54/12,143.90
  6. Step 6: Final answer
    x = 13,683.65

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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.