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Finding the Fourth Proportional to 5,690.78, 8,531.19 and 3,059.72

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Solution

The fourth proportional to 5,690.78, 8,531.19 and 3,059.72 is: 4,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.78 : 8,531.19 = 3,059.72 : x
  2. Step 2: Convert to fraction form
    5,690.78/8,531.19 = 3,059.72/x
  3. Step 3: Cross multiply
    5,690.78x = 8,531.19 × 3,059.72
  4. Step 4: Simplify right side
    5,690.78x = 26,103,010.01
  5. Step 5: Solve for x
    x = 26,103,010.01/5,690.78
  6. Step 6: Final answer
    x = 4,586.90

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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.