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Finding the Fourth Proportional to 5,422.34, 7,484.10 and 3,065.24

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Solution

The fourth proportional to 5,422.34, 7,484.10 and 3,065.24 is: 4,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.34 : 7,484.10 = 3,065.24 : x
  2. Step 2: Convert to fraction form
    5,422.34/7,484.10 = 3,065.24/x
  3. Step 3: Cross multiply
    5,422.34x = 7,484.10 × 3,065.24
  4. Step 4: Simplify right side
    5,422.34x = 22,940,569.90
  5. Step 5: Solve for x
    x = 22,940,569.90/5,422.34
  6. Step 6: Final answer
    x = 4,230.75

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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.