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Finding the Fourth Proportional to 1,774.80, 2,657.70 and 1,610.64

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Solution

The fourth proportional to 1,774.80, 2,657.70 and 1,610.64 is: 2,411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.80 : 2,657.70 = 1,610.64 : x
  2. Step 2: Convert to fraction form
    1,774.80/2,657.70 = 1,610.64/x
  3. Step 3: Cross multiply
    1,774.80x = 2,657.70 × 1,610.64
  4. Step 4: Simplify right side
    1,774.80x = 4,280,597.93
  5. Step 5: Solve for x
    x = 4,280,597.93/1,774.80
  6. Step 6: Final answer
    x = 2,411.88

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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.