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Finding the Fourth Proportional to 7,416.40, 11,135.40 and 5,234.80

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Solution

The fourth proportional to 7,416.40, 11,135.40 and 5,234.80 is: 7,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.40 : 11,135.40 = 5,234.80 : x
  2. Step 2: Convert to fraction form
    7,416.40/11,135.40 = 5,234.80/x
  3. Step 3: Cross multiply
    7,416.40x = 11,135.40 × 5,234.80
  4. Step 4: Simplify right side
    7,416.40x = 58,291,591.92
  5. Step 5: Solve for x
    x = 58,291,591.92/7,416.40
  6. Step 6: Final answer
    x = 7,859.82

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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.