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Finding the Fourth Proportional to 11,386.15, 17,071 and 7,679.11

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Solution

The fourth proportional to 11,386.15, 17,071 and 7,679.11 is: 11,513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386.15 : 17,071 = 7,679.11 : x
  2. Step 2: Convert to fraction form
    11,386.15/17,071 = 7,679.11/x
  3. Step 3: Cross multiply
    11,386.15x = 17,071 × 7,679.11
  4. Step 4: Simplify right side
    11,386.15x = 131,090,086.81
  5. Step 5: Solve for x
    x = 131,090,086.81/11,386.15
  6. Step 6: Final answer
    x = 11,513.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.