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Finding the Fourth Proportional to 10,927, 16,390.56 and 2,719

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Solution

The fourth proportional to 10,927, 16,390.56 and 2,719 is: 4,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927 : 16,390.56 = 2,719 : x
  2. Step 2: Convert to fraction form
    10,927/16,390.56 = 2,719/x
  3. Step 3: Cross multiply
    10,927x = 16,390.56 × 2,719
  4. Step 4: Simplify right side
    10,927x = 44,565,932.64
  5. Step 5: Solve for x
    x = 44,565,932.64/10,927
  6. Step 6: Final answer
    x = 4,078.51

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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.