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Finding the Fourth Proportional to 3,753.75, 5,630.64 and 1,017.75

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Solution

The fourth proportional to 3,753.75, 5,630.64 and 1,017.75 is: 1,526.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.75 : 5,630.64 = 1,017.75 : x
  2. Step 2: Convert to fraction form
    3,753.75/5,630.64 = 1,017.75/x
  3. Step 3: Cross multiply
    3,753.75x = 5,630.64 × 1,017.75
  4. Step 4: Simplify right side
    3,753.75x = 5,730,583.86
  5. Step 5: Solve for x
    x = 5,730,583.86/3,753.75
  6. Step 6: Final answer
    x = 1,526.63

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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.