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Finding the Fourth Proportional to 2,659.61, 3,666.96 and 1,773.87

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Solution

The fourth proportional to 2,659.61, 3,666.96 and 1,773.87 is: 2,445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.61 : 3,666.96 = 1,773.87 : x
  2. Step 2: Convert to fraction form
    2,659.61/3,666.96 = 1,773.87/x
  3. Step 3: Cross multiply
    2,659.61x = 3,666.96 × 1,773.87
  4. Step 4: Simplify right side
    2,659.61x = 6,504,710.34
  5. Step 5: Solve for x
    x = 6,504,710.34/2,659.61
  6. Step 6: Final answer
    x = 2,445.74

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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.