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Finding the Fourth Proportional to 5,677.83, 8,516.00 and 1,782.20

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Solution

The fourth proportional to 5,677.83, 8,516.00 and 1,782.20 is: 2,673.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.83 : 8,516.00 = 1,782.20 : x
  2. Step 2: Convert to fraction form
    5,677.83/8,516.00 = 1,782.20/x
  3. Step 3: Cross multiply
    5,677.83x = 8,516.00 × 1,782.20
  4. Step 4: Simplify right side
    5,677.83x = 15,177,240.95
  5. Step 5: Solve for x
    x = 15,177,240.95/5,677.83
  6. Step 6: Final answer
    x = 2,673.07

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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.