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Finding the Fourth Proportional to 8,520.78, 12,774.78 and 5,739.65

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Solution

The fourth proportional to 8,520.78, 12,774.78 and 5,739.65 is: 8,605.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.78 : 12,774.78 = 5,739.65 : x
  2. Step 2: Convert to fraction form
    8,520.78/12,774.78 = 5,739.65/x
  3. Step 3: Cross multiply
    8,520.78x = 12,774.78 × 5,739.65
  4. Step 4: Simplify right side
    8,520.78x = 73,322,702.15
  5. Step 5: Solve for x
    x = 73,322,702.15/8,520.78
  6. Step 6: Final answer
    x = 8,605.16

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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.