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Finding the Fourth Proportional to 5,747.68, 8,621.72 and 2,457.46

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Solution

The fourth proportional to 5,747.68, 8,621.72 and 2,457.46 is: 3,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.68 : 8,621.72 = 2,457.46 : x
  2. Step 2: Convert to fraction form
    5,747.68/8,621.72 = 2,457.46/x
  3. Step 3: Cross multiply
    5,747.68x = 8,621.72 × 2,457.46
  4. Step 4: Simplify right side
    5,747.68x = 21,187,532.03
  5. Step 5: Solve for x
    x = 21,187,532.03/5,747.68
  6. Step 6: Final answer
    x = 3,686.28

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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.