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Finding the Fourth Proportional to 2,490.52, 3,735.21 and 735.55

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Solution

The fourth proportional to 2,490.52, 3,735.21 and 735.55 is: 1,103.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.52 : 3,735.21 = 735.55 : x
  2. Step 2: Convert to fraction form
    2,490.52/3,735.21 = 735.55/x
  3. Step 3: Cross multiply
    2,490.52x = 3,735.21 × 735.55
  4. Step 4: Simplify right side
    2,490.52x = 2,747,433.72
  5. Step 5: Solve for x
    x = 2,747,433.72/2,490.52
  6. Step 6: Final answer
    x = 1,103.16

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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.