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Finding the Fourth Proportional to 12,032.88, 18,029.88 and 6,842.40

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Solution

The fourth proportional to 12,032.88, 18,029.88 and 6,842.40 is: 10,252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.88 : 18,029.88 = 6,842.40 : x
  2. Step 2: Convert to fraction form
    12,032.88/18,029.88 = 6,842.40/x
  3. Step 3: Cross multiply
    12,032.88x = 18,029.88 × 6,842.40
  4. Step 4: Simplify right side
    12,032.88x = 123,367,650.91
  5. Step 5: Solve for x
    x = 123,367,650.91/12,032.88
  6. Step 6: Final answer
    x = 10,252.55

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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.