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Finding the Fourth Proportional to 3,728.54, 5,523 and 3,687.05

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Solution

The fourth proportional to 3,728.54, 5,523 and 3,687.05 is: 5,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.54 : 5,523 = 3,687.05 : x
  2. Step 2: Convert to fraction form
    3,728.54/5,523 = 3,687.05/x
  3. Step 3: Cross multiply
    3,728.54x = 5,523 × 3,687.05
  4. Step 4: Simplify right side
    3,728.54x = 20,363,549.54
  5. Step 5: Solve for x
    x = 20,363,549.54/3,728.54
  6. Step 6: Final answer
    x = 5,461.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.