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Finding the Fourth Proportional to 2,087.70, 2,881.20 and 1,203.78

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Solution

The fourth proportional to 2,087.70, 2,881.20 and 1,203.78 is: 1,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.70 : 2,881.20 = 1,203.78 : x
  2. Step 2: Convert to fraction form
    2,087.70/2,881.20 = 1,203.78/x
  3. Step 3: Cross multiply
    2,087.70x = 2,881.20 × 1,203.78
  4. Step 4: Simplify right side
    2,087.70x = 3,468,330.94
  5. Step 5: Solve for x
    x = 3,468,330.94/2,087.70
  6. Step 6: Final answer
    x = 1,661.32

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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.