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Finding the Fourth Proportional to 7,145.60, 10,721.60 and 3,446.40

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Solution

The fourth proportional to 7,145.60, 10,721.60 and 3,446.40 is: 5,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.60 : 10,721.60 = 3,446.40 : x
  2. Step 2: Convert to fraction form
    7,145.60/10,721.60 = 3,446.40/x
  3. Step 3: Cross multiply
    7,145.60x = 10,721.60 × 3,446.40
  4. Step 4: Simplify right side
    7,145.60x = 36,950,922.24
  5. Step 5: Solve for x
    x = 36,950,922.24/7,145.60
  6. Step 6: Final answer
    x = 5,171.14

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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.