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Finding the Fourth Proportional to 2,718.88, 4,078.32 and 1,158.48

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Solution

The fourth proportional to 2,718.88, 4,078.32 and 1,158.48 is: 1,737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.88 : 4,078.32 = 1,158.48 : x
  2. Step 2: Convert to fraction form
    2,718.88/4,078.32 = 1,158.48/x
  3. Step 3: Cross multiply
    2,718.88x = 4,078.32 × 1,158.48
  4. Step 4: Simplify right side
    2,718.88x = 4,724,652.15
  5. Step 5: Solve for x
    x = 4,724,652.15/2,718.88
  6. Step 6: Final answer
    x = 1,737.72

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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.