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Finding the Fourth Proportional to 9,359.44, 12,910 and 6,171.82

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Solution

The fourth proportional to 9,359.44, 12,910 and 6,171.82 is: 8,513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,359.44 : 12,910 = 6,171.82 : x
  2. Step 2: Convert to fraction form
    9,359.44/12,910 = 6,171.82/x
  3. Step 3: Cross multiply
    9,359.44x = 12,910 × 6,171.82
  4. Step 4: Simplify right side
    9,359.44x = 79,678,196.20
  5. Step 5: Solve for x
    x = 79,678,196.20/9,359.44
  6. Step 6: Final answer
    x = 8,513.14

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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.