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Finding the Fourth Proportional to 18,271.31, 27,405.16 and 12,386

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Solution

The fourth proportional to 18,271.31, 27,405.16 and 12,386 is: 18,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,271.31 : 27,405.16 = 12,386 : x
  2. Step 2: Convert to fraction form
    18,271.31/27,405.16 = 12,386/x
  3. Step 3: Cross multiply
    18,271.31x = 27,405.16 × 12,386
  4. Step 4: Simplify right side
    18,271.31x = 339,440,311.76
  5. Step 5: Solve for x
    x = 339,440,311.76/18,271.31
  6. Step 6: Final answer
    x = 18,577.78

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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.