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Finding the Fourth Proportional to 12,723, 17,557.74 and 7,134

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Solution

The fourth proportional to 12,723, 17,557.74 and 7,134 is: 9,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723 : 17,557.74 = 7,134 : x
  2. Step 2: Convert to fraction form
    12,723/17,557.74 = 7,134/x
  3. Step 3: Cross multiply
    12,723x = 17,557.74 × 7,134
  4. Step 4: Simplify right side
    12,723x = 125,256,917.16
  5. Step 5: Solve for x
    x = 125,256,917.16/12,723
  6. Step 6: Final answer
    x = 9,844.92

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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.