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Finding the Fourth Proportional to 11,307, 15,603.66 and 6,891

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Solution

The fourth proportional to 11,307, 15,603.66 and 6,891 is: 9,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307 : 15,603.66 = 6,891 : x
  2. Step 2: Convert to fraction form
    11,307/15,603.66 = 6,891/x
  3. Step 3: Cross multiply
    11,307x = 15,603.66 × 6,891
  4. Step 4: Simplify right side
    11,307x = 107,524,821.06
  5. Step 5: Solve for x
    x = 107,524,821.06/11,307
  6. Step 6: Final answer
    x = 9,509.58

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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.