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Finding the Fourth Proportional to 5,440.24, 7,509.72 and 4,114.24

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Solution

The fourth proportional to 5,440.24, 7,509.72 and 4,114.24 is: 5,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,440.24 : 7,509.72 = 4,114.24 : x
  2. Step 2: Convert to fraction form
    5,440.24/7,509.72 = 4,114.24/x
  3. Step 3: Cross multiply
    5,440.24x = 7,509.72 × 4,114.24
  4. Step 4: Simplify right side
    5,440.24x = 30,896,790.41
  5. Step 5: Solve for x
    x = 30,896,790.41/5,440.24
  6. Step 6: Final answer
    x = 5,679.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.