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Finding the Fourth Proportional to 2,590.78, 3,866.12 and 2,313.90

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Solution

The fourth proportional to 2,590.78, 3,866.12 and 2,313.90 is: 3,452.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.78 : 3,866.12 = 2,313.90 : x
  2. Step 2: Convert to fraction form
    2,590.78/3,866.12 = 2,313.90/x
  3. Step 3: Cross multiply
    2,590.78x = 3,866.12 × 2,313.90
  4. Step 4: Simplify right side
    2,590.78x = 8,945,815.07
  5. Step 5: Solve for x
    x = 8,945,815.07/2,590.78
  6. Step 6: Final answer
    x = 3,452.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.