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Finding the Fourth Proportional to 51,458, 71,012.04 and 27,906

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Solution

The fourth proportional to 51,458, 71,012.04 and 27,906 is: 38,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,458 : 71,012.04 = 27,906 : x
  2. Step 2: Convert to fraction form
    51,458/71,012.04 = 27,906/x
  3. Step 3: Cross multiply
    51,458x = 71,012.04 × 27,906
  4. Step 4: Simplify right side
    51,458x = 1,981,661,988.24
  5. Step 5: Solve for x
    x = 1,981,661,988.24/51,458
  6. Step 6: Final answer
    x = 38,510.28

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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.