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Finding the Fourth Proportional to 12,031.34, 18,034.25 and 5,787.45

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Solution

The fourth proportional to 12,031.34, 18,034.25 and 5,787.45 is: 8,675.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.34 : 18,034.25 = 5,787.45 : x
  2. Step 2: Convert to fraction form
    12,031.34/18,034.25 = 5,787.45/x
  3. Step 3: Cross multiply
    12,031.34x = 18,034.25 × 5,787.45
  4. Step 4: Simplify right side
    12,031.34x = 104,372,291.23
  5. Step 5: Solve for x
    x = 104,372,291.23/12,031.34
  6. Step 6: Final answer
    x = 8,675.04

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