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Finding the Fourth Proportional to 51,457, 71,010.66 and 27,905

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Solution

The fourth proportional to 51,457, 71,010.66 and 27,905 is: 38,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,457 : 71,010.66 = 27,905 : x
  2. Step 2: Convert to fraction form
    51,457/71,010.66 = 27,905/x
  3. Step 3: Cross multiply
    51,457x = 71,010.66 × 27,905
  4. Step 4: Simplify right side
    51,457x = 1,981,552,467.30
  5. Step 5: Solve for x
    x = 1,981,552,467.30/51,457
  6. Step 6: Final answer
    x = 38,508.90

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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.