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Finding the Fourth Proportional to 5,631.76, 8,449.20 and 2,346.40

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Solution

The fourth proportional to 5,631.76, 8,449.20 and 2,346.40 is: 3,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.76 : 8,449.20 = 2,346.40 : x
  2. Step 2: Convert to fraction form
    5,631.76/8,449.20 = 2,346.40/x
  3. Step 3: Cross multiply
    5,631.76x = 8,449.20 × 2,346.40
  4. Step 4: Simplify right side
    5,631.76x = 19,825,202.88
  5. Step 5: Solve for x
    x = 19,825,202.88/5,631.76
  6. Step 6: Final answer
    x = 3,520.25

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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.