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Finding the Fourth Proportional to 9,180, 12,671.28 and 5,868

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Solution

The fourth proportional to 9,180, 12,671.28 and 5,868 is: 8,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180 : 12,671.28 = 5,868 : x
  2. Step 2: Convert to fraction form
    9,180/12,671.28 = 5,868/x
  3. Step 3: Cross multiply
    9,180x = 12,671.28 × 5,868
  4. Step 4: Simplify right side
    9,180x = 74,355,071.04
  5. Step 5: Solve for x
    x = 74,355,071.04/9,180
  6. Step 6: Final answer
    x = 8,099.68

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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.