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Finding the Fourth Proportional to 6,452.40, 9,662.40 and 6,160.80

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Solution

The fourth proportional to 6,452.40, 9,662.40 and 6,160.80 is: 9,225.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.40 : 9,662.40 = 6,160.80 : x
  2. Step 2: Convert to fraction form
    6,452.40/9,662.40 = 6,160.80/x
  3. Step 3: Cross multiply
    6,452.40x = 9,662.40 × 6,160.80
  4. Step 4: Simplify right side
    6,452.40x = 59,528,113.92
  5. Step 5: Solve for x
    x = 59,528,113.92/6,452.40
  6. Step 6: Final answer
    x = 9,225.73

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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.