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Finding the Fourth Proportional to 5,161.98, 7,742.96 and 1,266.34

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Solution

The fourth proportional to 5,161.98, 7,742.96 and 1,266.34 is: 1,899.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.98 : 7,742.96 = 1,266.34 : x
  2. Step 2: Convert to fraction form
    5,161.98/7,742.96 = 1,266.34/x
  3. Step 3: Cross multiply
    5,161.98x = 7,742.96 × 1,266.34
  4. Step 4: Simplify right side
    5,161.98x = 9,805,213.63
  5. Step 5: Solve for x
    x = 9,805,213.63/5,161.98
  6. Step 6: Final answer
    x = 1,899.51

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Half scale
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Double scale
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Similar ratio
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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.