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Finding the Fourth Proportional to 51,882, 77,808.83 and 18,595.86

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Solution

The fourth proportional to 51,882, 77,808.83 and 18,595.86 is: 27,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,882 : 77,808.83 = 18,595.86 : x
  2. Step 2: Convert to fraction form
    51,882/77,808.83 = 18,595.86/x
  3. Step 3: Cross multiply
    51,882x = 77,808.83 × 18,595.86
  4. Step 4: Simplify right side
    51,882x = 1,446,922,016.46
  5. Step 5: Solve for x
    x = 1,446,922,016.46/51,882
  6. Step 6: Final answer
    x = 27,888.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.