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Finding the Fourth Proportional to 2,772.86, 4,158.87 and 1,129.44

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Solution

The fourth proportional to 2,772.86, 4,158.87 and 1,129.44 is: 1,693.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.86 : 4,158.87 = 1,129.44 : x
  2. Step 2: Convert to fraction form
    2,772.86/4,158.87 = 1,129.44/x
  3. Step 3: Cross multiply
    2,772.86x = 4,158.87 × 1,129.44
  4. Step 4: Simplify right side
    2,772.86x = 4,697,194.13
  5. Step 5: Solve for x
    x = 4,697,194.13/2,772.86
  6. Step 6: Final answer
    x = 1,693.99

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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.