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Finding the Fourth Proportional to 3,123.18, 4,684.41 and 814.86

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Solution

The fourth proportional to 3,123.18, 4,684.41 and 814.86 is: 1,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.18 : 4,684.41 = 814.86 : x
  2. Step 2: Convert to fraction form
    3,123.18/4,684.41 = 814.86/x
  3. Step 3: Cross multiply
    3,123.18x = 4,684.41 × 814.86
  4. Step 4: Simplify right side
    3,123.18x = 3,817,138.33
  5. Step 5: Solve for x
    x = 3,817,138.33/3,123.18
  6. Step 6: Final answer
    x = 1,222.20

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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.