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Finding the Fourth Proportional to 9,138.59, 12,611.15 and 5,159.87

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Solution

The fourth proportional to 9,138.59, 12,611.15 and 5,159.87 is: 7,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.59 : 12,611.15 = 5,159.87 : x
  2. Step 2: Convert to fraction form
    9,138.59/12,611.15 = 5,159.87/x
  3. Step 3: Cross multiply
    9,138.59x = 12,611.15 × 5,159.87
  4. Step 4: Simplify right side
    9,138.59x = 65,071,919.63
  5. Step 5: Solve for x
    x = 65,071,919.63/9,138.59
  6. Step 6: Final answer
    x = 7,120.56

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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.