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Finding the Fourth Proportional to 18,271, 27,407.40 and 5,959

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Solution

The fourth proportional to 18,271, 27,407.40 and 5,959 is: 8,938.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,271 : 27,407.40 = 5,959 : x
  2. Step 2: Convert to fraction form
    18,271/27,407.40 = 5,959/x
  3. Step 3: Cross multiply
    18,271x = 27,407.40 × 5,959
  4. Step 4: Simplify right side
    18,271x = 163,320,696.60
  5. Step 5: Solve for x
    x = 163,320,696.60/18,271
  6. Step 6: Final answer
    x = 8,938.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.