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Finding the Fourth Proportional to 9,449.77, 13,040.10 and 5,199.97

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Solution

The fourth proportional to 9,449.77, 13,040.10 and 5,199.97 is: 7,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.77 : 13,040.10 = 5,199.97 : x
  2. Step 2: Convert to fraction form
    9,449.77/13,040.10 = 5,199.97/x
  3. Step 3: Cross multiply
    9,449.77x = 13,040.10 × 5,199.97
  4. Step 4: Simplify right side
    9,449.77x = 67,808,128.80
  5. Step 5: Solve for x
    x = 67,808,128.80/9,449.77
  6. Step 6: Final answer
    x = 7,175.64

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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.