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Finding the Fourth Proportional to 5,220.65, 7,829.76 and 2,449.24

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Solution

The fourth proportional to 5,220.65, 7,829.76 and 2,449.24 is: 3,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.65 : 7,829.76 = 2,449.24 : x
  2. Step 2: Convert to fraction form
    5,220.65/7,829.76 = 2,449.24/x
  3. Step 3: Cross multiply
    5,220.65x = 7,829.76 × 2,449.24
  4. Step 4: Simplify right side
    5,220.65x = 19,176,950.99
  5. Step 5: Solve for x
    x = 19,176,950.99/5,220.65
  6. Step 6: Final answer
    x = 3,673.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.