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Finding the Fourth Proportional to 1,778.96, 2,652.76 and 1,655.84

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Solution

The fourth proportional to 1,778.96, 2,652.76 and 1,655.84 is: 2,469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.96 : 2,652.76 = 1,655.84 : x
  2. Step 2: Convert to fraction form
    1,778.96/2,652.76 = 1,655.84/x
  3. Step 3: Cross multiply
    1,778.96x = 2,652.76 × 1,655.84
  4. Step 4: Simplify right side
    1,778.96x = 4,392,546.12
  5. Step 5: Solve for x
    x = 4,392,546.12/1,778.96
  6. Step 6: Final answer
    x = 2,469.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.