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Finding the Fourth Proportional to 9,328.28, 12,874.19 and 5,349.33

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Solution

The fourth proportional to 9,328.28, 12,874.19 and 5,349.33 is: 7,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328.28 : 12,874.19 = 5,349.33 : x
  2. Step 2: Convert to fraction form
    9,328.28/12,874.19 = 5,349.33/x
  3. Step 3: Cross multiply
    9,328.28x = 12,874.19 × 5,349.33
  4. Step 4: Simplify right side
    9,328.28x = 68,868,264.05
  5. Step 5: Solve for x
    x = 68,868,264.05/9,328.28
  6. Step 6: Final answer
    x = 7,382.74

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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.