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Finding the Fourth Proportional to 13,111.52, 18,094 and 7,143.24

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Solution

The fourth proportional to 13,111.52, 18,094 and 7,143.24 is: 9,857.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,111.52 : 18,094 = 7,143.24 : x
  2. Step 2: Convert to fraction form
    13,111.52/18,094 = 7,143.24/x
  3. Step 3: Cross multiply
    13,111.52x = 18,094 × 7,143.24
  4. Step 4: Simplify right side
    13,111.52x = 129,249,784.56
  5. Step 5: Solve for x
    x = 129,249,784.56/13,111.52
  6. Step 6: Final answer
    x = 9,857.73

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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.