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Finding the Fourth Proportional to 5,220.65, 7,832.14 and 1,523.18

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Solution

The fourth proportional to 5,220.65, 7,832.14 and 1,523.18 is: 2,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.65 : 7,832.14 = 1,523.18 : x
  2. Step 2: Convert to fraction form
    5,220.65/7,832.14 = 1,523.18/x
  3. Step 3: Cross multiply
    5,220.65x = 7,832.14 × 1,523.18
  4. Step 4: Simplify right side
    5,220.65x = 11,929,774.78
  5. Step 5: Solve for x
    x = 11,929,774.78/5,220.65
  6. Step 6: Final answer
    x = 2,285.11

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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.