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Finding the Fourth Proportional to 5,220.40, 7,814.40 and 4,928.80

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Solution

The fourth proportional to 5,220.40, 7,814.40 and 4,928.80 is: 7,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.40 : 7,814.40 = 4,928.80 : x
  2. Step 2: Convert to fraction form
    5,220.40/7,814.40 = 4,928.80/x
  3. Step 3: Cross multiply
    5,220.40x = 7,814.40 × 4,928.80
  4. Step 4: Simplify right side
    5,220.40x = 38,515,614.72
  5. Step 5: Solve for x
    x = 38,515,614.72/5,220.40
  6. Step 6: Final answer
    x = 7,377.90

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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.