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Finding the Fourth Proportional to 12,743, 17,585.40 and 7,154

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Solution

The fourth proportional to 12,743, 17,585.40 and 7,154 is: 9,872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,743 : 17,585.40 = 7,154 : x
  2. Step 2: Convert to fraction form
    12,743/17,585.40 = 7,154/x
  3. Step 3: Cross multiply
    12,743x = 17,585.40 × 7,154
  4. Step 4: Simplify right side
    12,743x = 125,805,951.60
  5. Step 5: Solve for x
    x = 125,805,951.60/12,743
  6. Step 6: Final answer
    x = 9,872.55

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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.