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Finding the Fourth Proportional to 2,235, 3,084.25 and 1,240.25

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Solution

The fourth proportional to 2,235, 3,084.25 and 1,240.25 is: 1,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235 : 3,084.25 = 1,240.25 : x
  2. Step 2: Convert to fraction form
    2,235/3,084.25 = 1,240.25/x
  3. Step 3: Cross multiply
    2,235x = 3,084.25 × 1,240.25
  4. Step 4: Simplify right side
    2,235x = 3,825,242.57
  5. Step 5: Solve for x
    x = 3,825,242.57/2,235
  6. Step 6: Final answer
    x = 1,711.52

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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.