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Finding the Fourth Proportional to 9,138.65, 12,611.07 and 5,160.14

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Solution

The fourth proportional to 9,138.65, 12,611.07 and 5,160.14 is: 7,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.65 : 12,611.07 = 5,160.14 : x
  2. Step 2: Convert to fraction form
    9,138.65/12,611.07 = 5,160.14/x
  3. Step 3: Cross multiply
    9,138.65x = 12,611.07 × 5,160.14
  4. Step 4: Simplify right side
    9,138.65x = 65,074,823.69
  5. Step 5: Solve for x
    x = 65,074,823.69/9,138.65
  6. Step 6: Final answer
    x = 7,120.84

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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.