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Finding the Fourth Proportional to 5,225.66, 7,840.31 and 2,304.21

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Solution

The fourth proportional to 5,225.66, 7,840.31 and 2,304.21 is: 3,457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.66 : 7,840.31 = 2,304.21 : x
  2. Step 2: Convert to fraction form
    5,225.66/7,840.31 = 2,304.21/x
  3. Step 3: Cross multiply
    5,225.66x = 7,840.31 × 2,304.21
  4. Step 4: Simplify right side
    5,225.66x = 18,065,709.18
  5. Step 5: Solve for x
    x = 18,065,709.18/5,225.66
  6. Step 6: Final answer
    x = 3,457.12

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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.