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Finding the Fourth Proportional to 5,261, 7,891.22 and 1,563.26

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Solution

The fourth proportional to 5,261, 7,891.22 and 1,563.26 is: 2,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261 : 7,891.22 = 1,563.26 : x
  2. Step 2: Convert to fraction form
    5,261/7,891.22 = 1,563.26/x
  3. Step 3: Cross multiply
    5,261x = 7,891.22 × 1,563.26
  4. Step 4: Simplify right side
    5,261x = 12,336,028.58
  5. Step 5: Solve for x
    x = 12,336,028.58/5,261
  6. Step 6: Final answer
    x = 2,344.81

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.