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Finding the Fourth Proportional to 3,280.71, 4,919.24 and 1,088.25

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Solution

The fourth proportional to 3,280.71, 4,919.24 and 1,088.25 is: 1,631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.71 : 4,919.24 = 1,088.25 : x
  2. Step 2: Convert to fraction form
    3,280.71/4,919.24 = 1,088.25/x
  3. Step 3: Cross multiply
    3,280.71x = 4,919.24 × 1,088.25
  4. Step 4: Simplify right side
    3,280.71x = 5,353,357.49
  5. Step 5: Solve for x
    x = 5,353,357.49/3,280.71
  6. Step 6: Final answer
    x = 1,631.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.