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Finding the Fourth Proportional to 9,605.50, 13,255.59 and 5,189.50

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Solution

The fourth proportional to 9,605.50, 13,255.59 and 5,189.50 is: 7,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.50 : 13,255.59 = 5,189.50 : x
  2. Step 2: Convert to fraction form
    9,605.50/13,255.59 = 5,189.50/x
  3. Step 3: Cross multiply
    9,605.50x = 13,255.59 × 5,189.50
  4. Step 4: Simplify right side
    9,605.50x = 68,789,884.31
  5. Step 5: Solve for x
    x = 68,789,884.31/9,605.50
  6. Step 6: Final answer
    x = 7,161.51

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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.