Home / 3,747.60-5,624.10-2,102.40

Finding the Fourth Proportional to 3,747.60, 5,624.10 and 2,102.40

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Solution

The fourth proportional to 3,747.60, 5,624.10 and 2,102.40 is: 3,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.60 : 5,624.10 = 2,102.40 : x
  2. Step 2: Convert to fraction form
    3,747.60/5,624.10 = 2,102.40/x
  3. Step 3: Cross multiply
    3,747.60x = 5,624.10 × 2,102.40
  4. Step 4: Simplify right side
    3,747.60x = 11,824,107.84
  5. Step 5: Solve for x
    x = 11,824,107.84/3,747.60
  6. Step 6: Final answer
    x = 3,155.11

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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.