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Finding the Fourth Proportional to 8,813.50, 13,220.26 and 2,657.50

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Solution

The fourth proportional to 8,813.50, 13,220.26 and 2,657.50 is: 3,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813.50 : 13,220.26 = 2,657.50 : x
  2. Step 2: Convert to fraction form
    8,813.50/13,220.26 = 2,657.50/x
  3. Step 3: Cross multiply
    8,813.50x = 13,220.26 × 2,657.50
  4. Step 4: Simplify right side
    8,813.50x = 35,132,840.95
  5. Step 5: Solve for x
    x = 35,132,840.95/8,813.50
  6. Step 6: Final answer
    x = 3,986.25

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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.