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Finding the Fourth Proportional to 5,384.89, 8,077.78 and 1,489.30

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Solution

The fourth proportional to 5,384.89, 8,077.78 and 1,489.30 is: 2,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.89 : 8,077.78 = 1,489.30 : x
  2. Step 2: Convert to fraction form
    5,384.89/8,077.78 = 1,489.30/x
  3. Step 3: Cross multiply
    5,384.89x = 8,077.78 × 1,489.30
  4. Step 4: Simplify right side
    5,384.89x = 12,030,211.04
  5. Step 5: Solve for x
    x = 12,030,211.04/5,384.89
  6. Step 6: Final answer
    x = 2,234.07

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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.