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Finding the Fourth Proportional to 7,002.20, 9,659.58 and 5,965.40

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Solution

The fourth proportional to 7,002.20, 9,659.58 and 5,965.40 is: 8,229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.20 : 9,659.58 = 5,965.40 : x
  2. Step 2: Convert to fraction form
    7,002.20/9,659.58 = 5,965.40/x
  3. Step 3: Cross multiply
    7,002.20x = 9,659.58 × 5,965.40
  4. Step 4: Simplify right side
    7,002.20x = 57,623,258.53
  5. Step 5: Solve for x
    x = 57,623,258.53/7,002.20
  6. Step 6: Final answer
    x = 8,229.31

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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.