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Finding the Fourth Proportional to 18,878.86, 28,322.26 and 7,785.46

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Solution

The fourth proportional to 18,878.86, 28,322.26 and 7,785.46 is: 11,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,878.86 : 28,322.26 = 7,785.46 : x
  2. Step 2: Convert to fraction form
    18,878.86/28,322.26 = 7,785.46/x
  3. Step 3: Cross multiply
    18,878.86x = 28,322.26 × 7,785.46
  4. Step 4: Simplify right side
    18,878.86x = 220,501,822.34
  5. Step 5: Solve for x
    x = 220,501,822.34/18,878.86
  6. Step 6: Final answer
    x = 11,679.83

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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.