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Finding the Fourth Proportional to 13,117.46, 18,101.57 and 7,149

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Solution

The fourth proportional to 13,117.46, 18,101.57 and 7,149 is: 9,865.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.46 : 18,101.57 = 7,149 : x
  2. Step 2: Convert to fraction form
    13,117.46/18,101.57 = 7,149/x
  3. Step 3: Cross multiply
    13,117.46x = 18,101.57 × 7,149
  4. Step 4: Simplify right side
    13,117.46x = 129,408,123.93
  5. Step 5: Solve for x
    x = 129,408,123.93/13,117.46
  6. Step 6: Final answer
    x = 9,865.33

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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.