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Finding the Fourth Proportional to 3,432.35, 5,148.48 and 835.29

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Solution

The fourth proportional to 3,432.35, 5,148.48 and 835.29 is: 1,252.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.35 : 5,148.48 = 835.29 : x
  2. Step 2: Convert to fraction form
    3,432.35/5,148.48 = 835.29/x
  3. Step 3: Cross multiply
    3,432.35x = 5,148.48 × 835.29
  4. Step 4: Simplify right side
    3,432.35x = 4,300,473.86
  5. Step 5: Solve for x
    x = 4,300,473.86/3,432.35
  6. Step 6: Final answer
    x = 1,252.92

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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.