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Finding the Fourth Proportional to 3,405.90, 5,101.65 and 2,829.90

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Solution

The fourth proportional to 3,405.90, 5,101.65 and 2,829.90 is: 4,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.90 : 5,101.65 = 2,829.90 : x
  2. Step 2: Convert to fraction form
    3,405.90/5,101.65 = 2,829.90/x
  3. Step 3: Cross multiply
    3,405.90x = 5,101.65 × 2,829.90
  4. Step 4: Simplify right side
    3,405.90x = 14,437,159.34
  5. Step 5: Solve for x
    x = 14,437,159.34/3,405.90
  6. Step 6: Final answer
    x = 4,238.87

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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.