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Finding the Fourth Proportional to 8,471, 11,689.98 and 5,159

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Solution

The fourth proportional to 8,471, 11,689.98 and 5,159 is: 7,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471 : 11,689.98 = 5,159 : x
  2. Step 2: Convert to fraction form
    8,471/11,689.98 = 5,159/x
  3. Step 3: Cross multiply
    8,471x = 11,689.98 × 5,159
  4. Step 4: Simplify right side
    8,471x = 60,308,606.82
  5. Step 5: Solve for x
    x = 60,308,606.82/8,471
  6. Step 6: Final answer
    x = 7,119.42

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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.