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Finding the Fourth Proportional to 11,495.74, 15,868.75 and 7,721.11

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Solution

The fourth proportional to 11,495.74, 15,868.75 and 7,721.11 is: 10,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.74 : 15,868.75 = 7,721.11 : x
  2. Step 2: Convert to fraction form
    11,495.74/15,868.75 = 7,721.11/x
  3. Step 3: Cross multiply
    11,495.74x = 15,868.75 × 7,721.11
  4. Step 4: Simplify right side
    11,495.74x = 122,524,364.31
  5. Step 5: Solve for x
    x = 122,524,364.31/11,495.74
  6. Step 6: Final answer
    x = 10,658.24

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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.