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Finding the Fourth Proportional to 8,865.78, 13,297.65 and 2,291.46

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Solution

The fourth proportional to 8,865.78, 13,297.65 and 2,291.46 is: 3,436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,865.78 : 13,297.65 = 2,291.46 : x
  2. Step 2: Convert to fraction form
    8,865.78/13,297.65 = 2,291.46/x
  3. Step 3: Cross multiply
    8,865.78x = 13,297.65 × 2,291.46
  4. Step 4: Simplify right side
    8,865.78x = 30,471,033.07
  5. Step 5: Solve for x
    x = 30,471,033.07/8,865.78
  6. Step 6: Final answer
    x = 3,436.93

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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.