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Finding the Fourth Proportional to 3,702.68, 5,109.74 and 2,109.16

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Solution

The fourth proportional to 3,702.68, 5,109.74 and 2,109.16 is: 2,910.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.68 : 5,109.74 = 2,109.16 : x
  2. Step 2: Convert to fraction form
    3,702.68/5,109.74 = 2,109.16/x
  3. Step 3: Cross multiply
    3,702.68x = 5,109.74 × 2,109.16
  4. Step 4: Simplify right side
    3,702.68x = 10,777,259.22
  5. Step 5: Solve for x
    x = 10,777,259.22/3,702.68
  6. Step 6: Final answer
    x = 2,910.66

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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.