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Finding the Fourth Proportional to 5,277.88, 7,917.90 and 1,814.68

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Solution

The fourth proportional to 5,277.88, 7,917.90 and 1,814.68 is: 2,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.88 : 7,917.90 = 1,814.68 : x
  2. Step 2: Convert to fraction form
    5,277.88/7,917.90 = 1,814.68/x
  3. Step 3: Cross multiply
    5,277.88x = 7,917.90 × 1,814.68
  4. Step 4: Simplify right side
    5,277.88x = 14,368,454.77
  5. Step 5: Solve for x
    x = 14,368,454.77/5,277.88
  6. Step 6: Final answer
    x = 2,722.39

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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.