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Finding the Fourth Proportional to 1,777.86, 2,449.62 and 1,657.44

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Solution

The fourth proportional to 1,777.86, 2,449.62 and 1,657.44 is: 2,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.86 : 2,449.62 = 1,657.44 : x
  2. Step 2: Convert to fraction form
    1,777.86/2,449.62 = 1,657.44/x
  3. Step 3: Cross multiply
    1,777.86x = 2,449.62 × 1,657.44
  4. Step 4: Simplify right side
    1,777.86x = 4,060,098.17
  5. Step 5: Solve for x
    x = 4,060,098.17/1,777.86
  6. Step 6: Final answer
    x = 2,283.70

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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.