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Finding the Fourth Proportional to 6,400.60, 9,600.90 and 5,416.45

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Solution

The fourth proportional to 6,400.60, 9,600.90 and 5,416.45 is: 8,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.60 : 9,600.90 = 5,416.45 : x
  2. Step 2: Convert to fraction form
    6,400.60/9,600.90 = 5,416.45/x
  3. Step 3: Cross multiply
    6,400.60x = 9,600.90 × 5,416.45
  4. Step 4: Simplify right side
    6,400.60x = 52,002,794.81
  5. Step 5: Solve for x
    x = 52,002,794.81/6,400.60
  6. Step 6: Final answer
    x = 8,124.68

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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.