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Finding the Fourth Proportional to 13,166.50, 18,169.78 and 7,577.50

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Solution

The fourth proportional to 13,166.50, 18,169.78 and 7,577.50 is: 10,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.50 : 18,169.78 = 7,577.50 : x
  2. Step 2: Convert to fraction form
    13,166.50/18,169.78 = 7,577.50/x
  3. Step 3: Cross multiply
    13,166.50x = 18,169.78 × 7,577.50
  4. Step 4: Simplify right side
    13,166.50x = 137,681,507.95
  5. Step 5: Solve for x
    x = 137,681,507.95/13,166.50
  6. Step 6: Final answer
    x = 10,456.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.