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Finding the Fourth Proportional to 5,609.64, 7,742.70 and 3,253.20

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Solution

The fourth proportional to 5,609.64, 7,742.70 and 3,253.20 is: 4,490.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.64 : 7,742.70 = 3,253.20 : x
  2. Step 2: Convert to fraction form
    5,609.64/7,742.70 = 3,253.20/x
  3. Step 3: Cross multiply
    5,609.64x = 7,742.70 × 3,253.20
  4. Step 4: Simplify right side
    5,609.64x = 25,188,551.64
  5. Step 5: Solve for x
    x = 25,188,551.64/5,609.64
  6. Step 6: Final answer
    x = 4,490.23

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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.