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Finding the Fourth Proportional to 2,162.86, 2,985.74 and 1,377.97

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Solution

The fourth proportional to 2,162.86, 2,985.74 and 1,377.97 is: 1,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.86 : 2,985.74 = 1,377.97 : x
  2. Step 2: Convert to fraction form
    2,162.86/2,985.74 = 1,377.97/x
  3. Step 3: Cross multiply
    2,162.86x = 2,985.74 × 1,377.97
  4. Step 4: Simplify right side
    2,162.86x = 4,114,253.26
  5. Step 5: Solve for x
    x = 4,114,253.26/2,162.86
  6. Step 6: Final answer
    x = 1,902.23

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Why These Related Problems?

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