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Finding the Fourth Proportional to 9,319.22, 12,856 and 5,539.72

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Solution

The fourth proportional to 9,319.22, 12,856 and 5,539.72 is: 7,642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.22 : 12,856 = 5,539.72 : x
  2. Step 2: Convert to fraction form
    9,319.22/12,856 = 5,539.72/x
  3. Step 3: Cross multiply
    9,319.22x = 12,856 × 5,539.72
  4. Step 4: Simplify right side
    9,319.22x = 71,218,640.32
  5. Step 5: Solve for x
    x = 71,218,640.32/9,319.22
  6. Step 6: Final answer
    x = 7,642.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.