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Finding the Fourth Proportional to 2,379.78, 3,566.93 and 1,281.84

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Solution

The fourth proportional to 2,379.78, 3,566.93 and 1,281.84 is: 1,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.78 : 3,566.93 = 1,281.84 : x
  2. Step 2: Convert to fraction form
    2,379.78/3,566.93 = 1,281.84/x
  3. Step 3: Cross multiply
    2,379.78x = 3,566.93 × 1,281.84
  4. Step 4: Simplify right side
    2,379.78x = 4,572,227.14
  5. Step 5: Solve for x
    x = 4,572,227.14/2,379.78
  6. Step 6: Final answer
    x = 1,921.28

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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.