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Finding the Fourth Proportional to 5,389.74, 8,084.55 and 1,494

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Solution

The fourth proportional to 5,389.74, 8,084.55 and 1,494 is: 2,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.74 : 8,084.55 = 1,494 : x
  2. Step 2: Convert to fraction form
    5,389.74/8,084.55 = 1,494/x
  3. Step 3: Cross multiply
    5,389.74x = 8,084.55 × 1,494
  4. Step 4: Simplify right side
    5,389.74x = 12,078,317.70
  5. Step 5: Solve for x
    x = 12,078,317.70/5,389.74
  6. Step 6: Final answer
    x = 2,240.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.