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Finding the Fourth Proportional to 13,651.50, 20,480.49 and 4,417.50

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Solution

The fourth proportional to 13,651.50, 20,480.49 and 4,417.50 is: 6,627.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.50 : 20,480.49 = 4,417.50 : x
  2. Step 2: Convert to fraction form
    13,651.50/20,480.49 = 4,417.50/x
  3. Step 3: Cross multiply
    13,651.50x = 20,480.49 × 4,417.50
  4. Step 4: Simplify right side
    13,651.50x = 90,472,564.58
  5. Step 5: Solve for x
    x = 90,472,564.58/13,651.50
  6. Step 6: Final answer
    x = 6,627.30

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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.