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Finding the Fourth Proportional to 1,778.32, 2,654.40 and 1,648

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Solution

The fourth proportional to 1,778.32, 2,654.40 and 1,648 is: 2,459.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.32 : 2,654.40 = 1,648 : x
  2. Step 2: Convert to fraction form
    1,778.32/2,654.40 = 1,648/x
  3. Step 3: Cross multiply
    1,778.32x = 2,654.40 × 1,648
  4. Step 4: Simplify right side
    1,778.32x = 4,374,451.20
  5. Step 5: Solve for x
    x = 4,374,451.20/1,778.32
  6. Step 6: Final answer
    x = 2,459.88

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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.