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Finding the Fourth Proportional to 9,149, 12,627.45 and 5,170.16

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Solution

The fourth proportional to 9,149, 12,627.45 and 5,170.16 is: 7,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149 : 12,627.45 = 5,170.16 : x
  2. Step 2: Convert to fraction form
    9,149/12,627.45 = 5,170.16/x
  3. Step 3: Cross multiply
    9,149x = 12,627.45 × 5,170.16
  4. Step 4: Simplify right side
    9,149x = 65,285,936.89
  5. Step 5: Solve for x
    x = 65,285,936.89/9,149
  6. Step 6: Final answer
    x = 7,135.85

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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.