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Finding the Fourth Proportional to 3,285, 4,534.20 and 2,224.32

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Solution

The fourth proportional to 3,285, 4,534.20 and 2,224.32 is: 3,070.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285 : 4,534.20 = 2,224.32 : x
  2. Step 2: Convert to fraction form
    3,285/4,534.20 = 2,224.32/x
  3. Step 3: Cross multiply
    3,285x = 4,534.20 × 2,224.32
  4. Step 4: Simplify right side
    3,285x = 10,085,511.74
  5. Step 5: Solve for x
    x = 10,085,511.74/3,285
  6. Step 6: Final answer
    x = 3,070.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.