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Finding the Fourth Proportional to 2,778.78, 3,830.71 and 1,715.83

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Solution

The fourth proportional to 2,778.78, 3,830.71 and 1,715.83 is: 2,365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.78 : 3,830.71 = 1,715.83 : x
  2. Step 2: Convert to fraction form
    2,778.78/3,830.71 = 1,715.83/x
  3. Step 3: Cross multiply
    2,778.78x = 3,830.71 × 1,715.83
  4. Step 4: Simplify right side
    2,778.78x = 6,572,847.14
  5. Step 5: Solve for x
    x = 6,572,847.14/2,778.78
  6. Step 6: Final answer
    x = 2,365.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.