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Finding the Fourth Proportional to 6,781.74, 10,123.50 and 5,863.20

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Solution

The fourth proportional to 6,781.74, 10,123.50 and 5,863.20 is: 8,752.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.74 : 10,123.50 = 5,863.20 : x
  2. Step 2: Convert to fraction form
    6,781.74/10,123.50 = 5,863.20/x
  3. Step 3: Cross multiply
    6,781.74x = 10,123.50 × 5,863.20
  4. Step 4: Simplify right side
    6,781.74x = 59,356,105.20
  5. Step 5: Solve for x
    x = 59,356,105.20/6,781.74
  6. Step 6: Final answer
    x = 8,752.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.