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Finding the Fourth Proportional to 9,605.25, 13,255.25 and 5,189.25

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Solution

The fourth proportional to 9,605.25, 13,255.25 and 5,189.25 is: 7,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.25 : 13,255.25 = 5,189.25 : x
  2. Step 2: Convert to fraction form
    9,605.25/13,255.25 = 5,189.25/x
  3. Step 3: Cross multiply
    9,605.25x = 13,255.25 × 5,189.25
  4. Step 4: Simplify right side
    9,605.25x = 68,784,780.12
  5. Step 5: Solve for x
    x = 68,784,780.12/9,605.25
  6. Step 6: Final answer
    x = 7,161.17

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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.