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Finding the Fourth Proportional to 3,424.80, 5,132.16 and 1,476

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Solution

The fourth proportional to 3,424.80, 5,132.16 and 1,476 is: 2,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.80 : 5,132.16 = 1,476 : x
  2. Step 2: Convert to fraction form
    3,424.80/5,132.16 = 1,476/x
  3. Step 3: Cross multiply
    3,424.80x = 5,132.16 × 1,476
  4. Step 4: Simplify right side
    3,424.80x = 7,575,068.16
  5. Step 5: Solve for x
    x = 7,575,068.16/3,424.80
  6. Step 6: Final answer
    x = 2,211.83

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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.