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Finding the Fourth Proportional to 3,238.52, 4,473.20 and 2,923.64

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Solution

The fourth proportional to 3,238.52, 4,473.20 and 2,923.64 is: 4,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.52 : 4,473.20 = 2,923.64 : x
  2. Step 2: Convert to fraction form
    3,238.52/4,473.20 = 2,923.64/x
  3. Step 3: Cross multiply
    3,238.52x = 4,473.20 × 2,923.64
  4. Step 4: Simplify right side
    3,238.52x = 13,077,989.46
  5. Step 5: Solve for x
    x = 13,077,989.46/3,238.52
  6. Step 6: Final answer
    x = 4,038.26

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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.