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Finding the Fourth Proportional to 3,702.58, 5,108.72 and 2,210.20

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Solution

The fourth proportional to 3,702.58, 5,108.72 and 2,210.20 is: 3,049.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.58 : 5,108.72 = 2,210.20 : x
  2. Step 2: Convert to fraction form
    3,702.58/5,108.72 = 2,210.20/x
  3. Step 3: Cross multiply
    3,702.58x = 5,108.72 × 2,210.20
  4. Step 4: Simplify right side
    3,702.58x = 11,291,310.29
  5. Step 5: Solve for x
    x = 11,291,310.29/3,702.58
  6. Step 6: Final answer
    x = 3,049.58

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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.