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Finding the Fourth Proportional to 3,200.32, 4,802.08 and 2,958.40

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Solution

The fourth proportional to 3,200.32, 4,802.08 and 2,958.40 is: 4,439.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.32 : 4,802.08 = 2,958.40 : x
  2. Step 2: Convert to fraction form
    3,200.32/4,802.08 = 2,958.40/x
  3. Step 3: Cross multiply
    3,200.32x = 4,802.08 × 2,958.40
  4. Step 4: Simplify right side
    3,200.32x = 14,206,473.47
  5. Step 5: Solve for x
    x = 14,206,473.47/3,200.32
  6. Step 6: Final answer
    x = 4,439.08

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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.