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Finding the Fourth Proportional to 2,078.89, 2,867.31 and 1,472.98

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Solution

The fourth proportional to 2,078.89, 2,867.31 and 1,472.98 is: 2,031.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.89 : 2,867.31 = 1,472.98 : x
  2. Step 2: Convert to fraction form
    2,078.89/2,867.31 = 1,472.98/x
  3. Step 3: Cross multiply
    2,078.89x = 2,867.31 × 1,472.98
  4. Step 4: Simplify right side
    2,078.89x = 4,223,490.28
  5. Step 5: Solve for x
    x = 4,223,490.28/2,078.89
  6. Step 6: Final answer
    x = 2,031.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.