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Finding the Fourth Proportional to 3,381.60, 5,072.51 and 1,530.55

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Solution

The fourth proportional to 3,381.60, 5,072.51 and 1,530.55 is: 2,295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.60 : 5,072.51 = 1,530.55 : x
  2. Step 2: Convert to fraction form
    3,381.60/5,072.51 = 1,530.55/x
  3. Step 3: Cross multiply
    3,381.60x = 5,072.51 × 1,530.55
  4. Step 4: Simplify right side
    3,381.60x = 7,763,730.18
  5. Step 5: Solve for x
    x = 7,763,730.18/3,381.60
  6. Step 6: Final answer
    x = 2,295.87

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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.