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Finding the Fourth Proportional to 5,161.65, 7,742.49 and 1,266.09

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Solution

The fourth proportional to 5,161.65, 7,742.49 and 1,266.09 is: 1,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.65 : 7,742.49 = 1,266.09 : x
  2. Step 2: Convert to fraction form
    5,161.65/7,742.49 = 1,266.09/x
  3. Step 3: Cross multiply
    5,161.65x = 7,742.49 × 1,266.09
  4. Step 4: Simplify right side
    5,161.65x = 9,802,689.16
  5. Step 5: Solve for x
    x = 9,802,689.16/5,161.65
  6. Step 6: Final answer
    x = 1,899.14

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Double scale
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Similar ratio
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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.