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Finding the Fourth Proportional to 3,508.98, 5,261.94 and 1,865.16

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Solution

The fourth proportional to 3,508.98, 5,261.94 and 1,865.16 is: 2,796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.98 : 5,261.94 = 1,865.16 : x
  2. Step 2: Convert to fraction form
    3,508.98/5,261.94 = 1,865.16/x
  3. Step 3: Cross multiply
    3,508.98x = 5,261.94 × 1,865.16
  4. Step 4: Simplify right side
    3,508.98x = 9,814,360.01
  5. Step 5: Solve for x
    x = 9,814,360.01/3,508.98
  6. Step 6: Final answer
    x = 2,796.93

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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.