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Finding the Fourth Proportional to 3,740.50, 5,611.56 and 1,432

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Solution

The fourth proportional to 3,740.50, 5,611.56 and 1,432 is: 2,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.50 : 5,611.56 = 1,432 : x
  2. Step 2: Convert to fraction form
    3,740.50/5,611.56 = 1,432/x
  3. Step 3: Cross multiply
    3,740.50x = 5,611.56 × 1,432
  4. Step 4: Simplify right side
    3,740.50x = 8,035,753.92
  5. Step 5: Solve for x
    x = 8,035,753.92/3,740.50
  6. Step 6: Final answer
    x = 2,148.31

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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.