Home / 1,280.52-1,921.32-1,097.46

Finding the Fourth Proportional to 1,280.52, 1,921.32 and 1,097.46

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Solution

The fourth proportional to 1,280.52, 1,921.32 and 1,097.46 is: 1,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.52 : 1,921.32 = 1,097.46 : x
  2. Step 2: Convert to fraction form
    1,280.52/1,921.32 = 1,097.46/x
  3. Step 3: Cross multiply
    1,280.52x = 1,921.32 × 1,097.46
  4. Step 4: Simplify right side
    1,280.52x = 2,108,571.85
  5. Step 5: Solve for x
    x = 2,108,571.85/1,280.52
  6. Step 6: Final answer
    x = 1,646.65

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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.