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Finding the Fourth Proportional to 9,138.83, 12,611.31 and 5,159.71

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Solution

The fourth proportional to 9,138.83, 12,611.31 and 5,159.71 is: 7,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.83 : 12,611.31 = 5,159.71 : x
  2. Step 2: Convert to fraction form
    9,138.83/12,611.31 = 5,159.71/x
  3. Step 3: Cross multiply
    9,138.83x = 12,611.31 × 5,159.71
  4. Step 4: Simplify right side
    9,138.83x = 65,070,639.26
  5. Step 5: Solve for x
    x = 65,070,639.26/9,138.83
  6. Step 6: Final answer
    x = 7,120.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.