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Finding the Fourth Proportional to 18,274, 27,407.76 and 5,127.52

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Solution

The fourth proportional to 18,274, 27,407.76 and 5,127.52 is: 7,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,274 : 27,407.76 = 5,127.52 : x
  2. Step 2: Convert to fraction form
    18,274/27,407.76 = 5,127.52/x
  3. Step 3: Cross multiply
    18,274x = 27,407.76 × 5,127.52
  4. Step 4: Simplify right side
    18,274x = 140,533,837.56
  5. Step 5: Solve for x
    x = 140,533,837.56/18,274
  6. Step 6: Final answer
    x = 7,690.37

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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.