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Finding the Fourth Proportional to 5,643.24, 8,457.75 and 4,000.20

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Solution

The fourth proportional to 5,643.24, 8,457.75 and 4,000.20 is: 5,995.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.24 : 8,457.75 = 4,000.20 : x
  2. Step 2: Convert to fraction form
    5,643.24/8,457.75 = 4,000.20/x
  3. Step 3: Cross multiply
    5,643.24x = 8,457.75 × 4,000.20
  4. Step 4: Simplify right side
    5,643.24x = 33,832,691.55
  5. Step 5: Solve for x
    x = 33,832,691.55/5,643.24
  6. Step 6: Final answer
    x = 5,995.26

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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.