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Finding the Fourth Proportional to 12,187.60, 16,812.16 and 7,149.40

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Solution

The fourth proportional to 12,187.60, 16,812.16 and 7,149.40 is: 9,862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.60 : 16,812.16 = 7,149.40 : x
  2. Step 2: Convert to fraction form
    12,187.60/16,812.16 = 7,149.40/x
  3. Step 3: Cross multiply
    12,187.60x = 16,812.16 × 7,149.40
  4. Step 4: Simplify right side
    12,187.60x = 120,196,856.70
  5. Step 5: Solve for x
    x = 120,196,856.70/12,187.60
  6. Step 6: Final answer
    x = 9,862.23

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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.