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Finding the Fourth Proportional to 12,149.50, 16,765.05 and 7,113.46

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Solution

The fourth proportional to 12,149.50, 16,765.05 and 7,113.46 is: 9,815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.50 : 16,765.05 = 7,113.46 : x
  2. Step 2: Convert to fraction form
    12,149.50/16,765.05 = 7,113.46/x
  3. Step 3: Cross multiply
    12,149.50x = 16,765.05 × 7,113.46
  4. Step 4: Simplify right side
    12,149.50x = 119,257,512.57
  5. Step 5: Solve for x
    x = 119,257,512.57/12,149.50
  6. Step 6: Final answer
    x = 9,815.84

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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.