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Finding the Fourth Proportional to 2,658.17, 3,986.02 and 808.87

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Solution

The fourth proportional to 2,658.17, 3,986.02 and 808.87 is: 1,212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.17 : 3,986.02 = 808.87 : x
  2. Step 2: Convert to fraction form
    2,658.17/3,986.02 = 808.87/x
  3. Step 3: Cross multiply
    2,658.17x = 3,986.02 × 808.87
  4. Step 4: Simplify right side
    2,658.17x = 3,224,172.00
  5. Step 5: Solve for x
    x = 3,224,172.00/2,658.17
  6. Step 6: Final answer
    x = 1,212.93

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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.