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Finding the Fourth Proportional to 3,280.94, 4,921.39 and 815.76

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Solution

The fourth proportional to 3,280.94, 4,921.39 and 815.76 is: 1,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.94 : 4,921.39 = 815.76 : x
  2. Step 2: Convert to fraction form
    3,280.94/4,921.39 = 815.76/x
  3. Step 3: Cross multiply
    3,280.94x = 4,921.39 × 815.76
  4. Step 4: Simplify right side
    3,280.94x = 4,014,673.11
  5. Step 5: Solve for x
    x = 4,014,673.11/3,280.94
  6. Step 6: Final answer
    x = 1,223.64

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1.5x scale

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.