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Finding the Fourth Proportional to 5,442.75, 7,509.15 and 3,763.53

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Solution

The fourth proportional to 5,442.75, 7,509.15 and 3,763.53 is: 5,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.75 : 7,509.15 = 3,763.53 : x
  2. Step 2: Convert to fraction form
    5,442.75/7,509.15 = 3,763.53/x
  3. Step 3: Cross multiply
    5,442.75x = 7,509.15 × 3,763.53
  4. Step 4: Simplify right side
    5,442.75x = 28,260,911.30
  5. Step 5: Solve for x
    x = 28,260,911.30/5,442.75
  6. Step 6: Final answer
    x = 5,192.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.