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Finding the Fourth Proportional to 9,605.63, 13,255.77 and 5,189.63

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Solution

The fourth proportional to 9,605.63, 13,255.77 and 5,189.63 is: 7,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.63 : 13,255.77 = 5,189.63 : x
  2. Step 2: Convert to fraction form
    9,605.63/13,255.77 = 5,189.63/x
  3. Step 3: Cross multiply
    9,605.63x = 13,255.77 × 5,189.63
  4. Step 4: Simplify right side
    9,605.63x = 68,792,475.39
  5. Step 5: Solve for x
    x = 68,792,475.39/9,605.63
  6. Step 6: Final answer
    x = 7,161.69

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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.