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Finding the Fourth Proportional to 11,574, 15,974.28 and 6,606

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Solution

The fourth proportional to 11,574, 15,974.28 and 6,606 is: 9,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574 : 15,974.28 = 6,606 : x
  2. Step 2: Convert to fraction form
    11,574/15,974.28 = 6,606/x
  3. Step 3: Cross multiply
    11,574x = 15,974.28 × 6,606
  4. Step 4: Simplify right side
    11,574x = 105,526,093.68
  5. Step 5: Solve for x
    x = 105,526,093.68/11,574
  6. Step 6: Final answer
    x = 9,117.51

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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.