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Finding the Fourth Proportional to 3,753.50, 5,627.20 and 1,412.20

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Solution

The fourth proportional to 3,753.50, 5,627.20 and 1,412.20 is: 2,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.50 : 5,627.20 = 1,412.20 : x
  2. Step 2: Convert to fraction form
    3,753.50/5,627.20 = 1,412.20/x
  3. Step 3: Cross multiply
    3,753.50x = 5,627.20 × 1,412.20
  4. Step 4: Simplify right side
    3,753.50x = 7,946,731.84
  5. Step 5: Solve for x
    x = 7,946,731.84/3,753.50
  6. Step 6: Final answer
    x = 2,117.15

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1.5x scale

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.