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Finding the Fourth Proportional to 5,220.30, 7,816.05 and 4,961.10

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Solution

The fourth proportional to 5,220.30, 7,816.05 and 4,961.10 is: 7,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.30 : 7,816.05 = 4,961.10 : x
  2. Step 2: Convert to fraction form
    5,220.30/7,816.05 = 4,961.10/x
  3. Step 3: Cross multiply
    5,220.30x = 7,816.05 × 4,961.10
  4. Step 4: Simplify right side
    5,220.30x = 38,776,205.66
  5. Step 5: Solve for x
    x = 38,776,205.66/5,220.30
  6. Step 6: Final answer
    x = 7,427.96

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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.