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Finding the Fourth Proportional to 1,401.50, 2,103.78 and 961.40

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Solution

The fourth proportional to 1,401.50, 2,103.78 and 961.40 is: 1,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.50 : 2,103.78 = 961.40 : x
  2. Step 2: Convert to fraction form
    1,401.50/2,103.78 = 961.40/x
  3. Step 3: Cross multiply
    1,401.50x = 2,103.78 × 961.40
  4. Step 4: Simplify right side
    1,401.50x = 2,022,574.09
  5. Step 5: Solve for x
    x = 2,022,574.09/1,401.50
  6. Step 6: Final answer
    x = 1,443.15

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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.