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Finding the Fourth Proportional to 10,400.46, 15,578.08 and 6,452.68

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Solution

The fourth proportional to 10,400.46, 15,578.08 and 6,452.68 is: 9,664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.46 : 15,578.08 = 6,452.68 : x
  2. Step 2: Convert to fraction form
    10,400.46/15,578.08 = 6,452.68/x
  3. Step 3: Cross multiply
    10,400.46x = 15,578.08 × 6,452.68
  4. Step 4: Simplify right side
    10,400.46x = 100,520,365.25
  5. Step 5: Solve for x
    x = 100,520,365.25/10,400.46
  6. Step 6: Final answer
    x = 9,664.99

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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.