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Finding the Fourth Proportional to 3,133.72, 4,323.54 and 1,807.24

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Solution

The fourth proportional to 3,133.72, 4,323.54 and 1,807.24 is: 2,493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.72 : 4,323.54 = 1,807.24 : x
  2. Step 2: Convert to fraction form
    3,133.72/4,323.54 = 1,807.24/x
  3. Step 3: Cross multiply
    3,133.72x = 4,323.54 × 1,807.24
  4. Step 4: Simplify right side
    3,133.72x = 7,813,674.43
  5. Step 5: Solve for x
    x = 7,813,674.43/3,133.72
  6. Step 6: Final answer
    x = 2,493.42

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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.