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Finding the Fourth Proportional to 8,969.78, 13,454.40 and 2,396.50

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Solution

The fourth proportional to 8,969.78, 13,454.40 and 2,396.50 is: 3,594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.78 : 13,454.40 = 2,396.50 : x
  2. Step 2: Convert to fraction form
    8,969.78/13,454.40 = 2,396.50/x
  3. Step 3: Cross multiply
    8,969.78x = 13,454.40 × 2,396.50
  4. Step 4: Simplify right side
    8,969.78x = 32,243,469.60
  5. Step 5: Solve for x
    x = 32,243,469.60/8,969.78
  6. Step 6: Final answer
    x = 3,594.68

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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.