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Finding the Fourth Proportional to 12,391, 17,099.64 and 6,802

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Solution

The fourth proportional to 12,391, 17,099.64 and 6,802 is: 9,386.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,391 : 17,099.64 = 6,802 : x
  2. Step 2: Convert to fraction form
    12,391/17,099.64 = 6,802/x
  3. Step 3: Cross multiply
    12,391x = 17,099.64 × 6,802
  4. Step 4: Simplify right side
    12,391x = 116,311,751.28
  5. Step 5: Solve for x
    x = 116,311,751.28/12,391
  6. Step 6: Final answer
    x = 9,386.79

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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.