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Finding the Fourth Proportional to 3,564.70, 5,347.05 and 2,103.10

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Solution

The fourth proportional to 3,564.70, 5,347.05 and 2,103.10 is: 3,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.70 : 5,347.05 = 2,103.10 : x
  2. Step 2: Convert to fraction form
    3,564.70/5,347.05 = 2,103.10/x
  3. Step 3: Cross multiply
    3,564.70x = 5,347.05 × 2,103.10
  4. Step 4: Simplify right side
    3,564.70x = 11,245,380.86
  5. Step 5: Solve for x
    x = 11,245,380.86/3,564.70
  6. Step 6: Final answer
    x = 3,154.65

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Similar ratio
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1.5x scale

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.