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Finding the Fourth Proportional to 5,972.40, 8,960.40 and 3,200.40

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Solution

The fourth proportional to 5,972.40, 8,960.40 and 3,200.40 is: 4,801.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.40 : 8,960.40 = 3,200.40 : x
  2. Step 2: Convert to fraction form
    5,972.40/8,960.40 = 3,200.40/x
  3. Step 3: Cross multiply
    5,972.40x = 8,960.40 × 3,200.40
  4. Step 4: Simplify right side
    5,972.40x = 28,676,864.16
  5. Step 5: Solve for x
    x = 28,676,864.16/5,972.40
  6. Step 6: Final answer
    x = 4,801.56

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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.