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Finding the Fourth Proportional to 4,917.86, 7,377.86 and 2,319.38

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Solution

The fourth proportional to 4,917.86, 7,377.86 and 2,319.38 is: 3,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917.86 : 7,377.86 = 2,319.38 : x
  2. Step 2: Convert to fraction form
    4,917.86/7,377.86 = 2,319.38/x
  3. Step 3: Cross multiply
    4,917.86x = 7,377.86 × 2,319.38
  4. Step 4: Simplify right side
    4,917.86x = 17,112,029.84
  5. Step 5: Solve for x
    x = 17,112,029.84/4,917.86
  6. Step 6: Final answer
    x = 3,479.57

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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.