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Finding the Fourth Proportional to 5,673.12, 8,502.39 and 2,381.69

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Solution

The fourth proportional to 5,673.12, 8,502.39 and 2,381.69 is: 3,569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.12 : 8,502.39 = 2,381.69 : x
  2. Step 2: Convert to fraction form
    5,673.12/8,502.39 = 2,381.69/x
  3. Step 3: Cross multiply
    5,673.12x = 8,502.39 × 2,381.69
  4. Step 4: Simplify right side
    5,673.12x = 20,250,014.73
  5. Step 5: Solve for x
    x = 20,250,014.73/5,673.12
  6. Step 6: Final answer
    x = 3,569.47

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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.