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Finding the Fourth Proportional to 5,389.92, 8,085.12 and 1,494.24

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Solution

The fourth proportional to 5,389.92, 8,085.12 and 1,494.24 is: 2,241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.92 : 8,085.12 = 1,494.24 : x
  2. Step 2: Convert to fraction form
    5,389.92/8,085.12 = 1,494.24/x
  3. Step 3: Cross multiply
    5,389.92x = 8,085.12 × 1,494.24
  4. Step 4: Simplify right side
    5,389.92x = 12,081,109.71
  5. Step 5: Solve for x
    x = 12,081,109.71/5,389.92
  6. Step 6: Final answer
    x = 2,241.43

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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.