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Finding the Fourth Proportional to 6,452.40, 9,688.20 and 4,993.20

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Solution

The fourth proportional to 6,452.40, 9,688.20 and 4,993.20 is: 7,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.40 : 9,688.20 = 4,993.20 : x
  2. Step 2: Convert to fraction form
    6,452.40/9,688.20 = 4,993.20/x
  3. Step 3: Cross multiply
    6,452.40x = 9,688.20 × 4,993.20
  4. Step 4: Simplify right side
    6,452.40x = 48,375,120.24
  5. Step 5: Solve for x
    x = 48,375,120.24/6,452.40
  6. Step 6: Final answer
    x = 7,497.23

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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.