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Finding the Fourth Proportional to 5,744.99, 8,620.43 and 2,457.20

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Solution

The fourth proportional to 5,744.99, 8,620.43 and 2,457.20 is: 3,687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.99 : 8,620.43 = 2,457.20 : x
  2. Step 2: Convert to fraction form
    5,744.99/8,620.43 = 2,457.20/x
  3. Step 3: Cross multiply
    5,744.99x = 8,620.43 × 2,457.20
  4. Step 4: Simplify right side
    5,744.99x = 21,182,129.86
  5. Step 5: Solve for x
    x = 21,182,129.86/5,744.99
  6. Step 6: Final answer
    x = 3,687.06

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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.