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Finding the Fourth Proportional to 3,429.60, 5,144.40 and 832.53

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Solution

The fourth proportional to 3,429.60, 5,144.40 and 832.53 is: 1,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.60 : 5,144.40 = 832.53 : x
  2. Step 2: Convert to fraction form
    3,429.60/5,144.40 = 832.53/x
  3. Step 3: Cross multiply
    3,429.60x = 5,144.40 × 832.53
  4. Step 4: Simplify right side
    3,429.60x = 4,282,886.62
  5. Step 5: Solve for x
    x = 4,282,886.62/3,429.60
  6. Step 6: Final answer
    x = 1,248.80

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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.