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Finding the Fourth Proportional to 3,746.40, 5,170.40 and 2,174.40

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Solution

The fourth proportional to 3,746.40, 5,170.40 and 2,174.40 is: 3,000.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.40 : 5,170.40 = 2,174.40 : x
  2. Step 2: Convert to fraction form
    3,746.40/5,170.40 = 2,174.40/x
  3. Step 3: Cross multiply
    3,746.40x = 5,170.40 × 2,174.40
  4. Step 4: Simplify right side
    3,746.40x = 11,242,517.76
  5. Step 5: Solve for x
    x = 11,242,517.76/3,746.40
  6. Step 6: Final answer
    x = 3,000.89

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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.