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Finding the Fourth Proportional to 2,702.10, 3,728.90 and 1,523.18

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Solution

The fourth proportional to 2,702.10, 3,728.90 and 1,523.18 is: 2,101.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.10 : 3,728.90 = 1,523.18 : x
  2. Step 2: Convert to fraction form
    2,702.10/3,728.90 = 1,523.18/x
  3. Step 3: Cross multiply
    2,702.10x = 3,728.90 × 1,523.18
  4. Step 4: Simplify right side
    2,702.10x = 5,679,785.90
  5. Step 5: Solve for x
    x = 5,679,785.90/2,702.10
  6. Step 6: Final answer
    x = 2,101.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.