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Finding the Fourth Proportional to 8,481, 11,703.78 and 5,169

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Solution

The fourth proportional to 8,481, 11,703.78 and 5,169 is: 7,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481 : 11,703.78 = 5,169 : x
  2. Step 2: Convert to fraction form
    8,481/11,703.78 = 5,169/x
  3. Step 3: Cross multiply
    8,481x = 11,703.78 × 5,169
  4. Step 4: Simplify right side
    8,481x = 60,496,838.82
  5. Step 5: Solve for x
    x = 60,496,838.82/8,481
  6. Step 6: Final answer
    x = 7,133.22

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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.