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Finding the Fourth Proportional to 2,124.84, 3,186 and 808.70

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Solution

The fourth proportional to 2,124.84, 3,186 and 808.70 is: 1,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.84 : 3,186 = 808.70 : x
  2. Step 2: Convert to fraction form
    2,124.84/3,186 = 808.70/x
  3. Step 3: Cross multiply
    2,124.84x = 3,186 × 808.70
  4. Step 4: Simplify right side
    2,124.84x = 2,576,502.27
  5. Step 5: Solve for x
    x = 2,576,502.27/2,124.84
  6. Step 6: Final answer
    x = 1,212.56

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