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Finding the Fourth Proportional to 3,435.62, 5,154.84 and 1,655.78

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Solution

The fourth proportional to 3,435.62, 5,154.84 and 1,655.78 is: 2,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.62 : 5,154.84 = 1,655.78 : x
  2. Step 2: Convert to fraction form
    3,435.62/5,154.84 = 1,655.78/x
  3. Step 3: Cross multiply
    3,435.62x = 5,154.84 × 1,655.78
  4. Step 4: Simplify right side
    3,435.62x = 8,535,255.20
  5. Step 5: Solve for x
    x = 8,535,255.20/3,435.62
  6. Step 6: Final answer
    x = 2,484.35

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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.