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Finding the Fourth Proportional to 5,777.80, 8,666.01 and 1,618.11

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Solution

The fourth proportional to 5,777.80, 8,666.01 and 1,618.11 is: 2,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.80 : 8,666.01 = 1,618.11 : x
  2. Step 2: Convert to fraction form
    5,777.80/8,666.01 = 1,618.11/x
  3. Step 3: Cross multiply
    5,777.80x = 8,666.01 × 1,618.11
  4. Step 4: Simplify right side
    5,777.80x = 14,022,557.44
  5. Step 5: Solve for x
    x = 14,022,557.44/5,777.80
  6. Step 6: Final answer
    x = 2,426.97

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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.