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Finding the Fourth Proportional to 9,255.30, 12,770.91 and 5,276.22

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Solution

The fourth proportional to 9,255.30, 12,770.91 and 5,276.22 is: 7,280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.30 : 12,770.91 = 5,276.22 : x
  2. Step 2: Convert to fraction form
    9,255.30/12,770.91 = 5,276.22/x
  3. Step 3: Cross multiply
    9,255.30x = 12,770.91 × 5,276.22
  4. Step 4: Simplify right side
    9,255.30x = 67,382,130.76
  5. Step 5: Solve for x
    x = 67,382,130.76/9,255.30
  6. Step 6: Final answer
    x = 7,280.38

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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.