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Finding the Fourth Proportional to 1,747.56, 2,411.74 and 961.78

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Solution

The fourth proportional to 1,747.56, 2,411.74 and 961.78 is: 1,327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.56 : 2,411.74 = 961.78 : x
  2. Step 2: Convert to fraction form
    1,747.56/2,411.74 = 961.78/x
  3. Step 3: Cross multiply
    1,747.56x = 2,411.74 × 961.78
  4. Step 4: Simplify right side
    1,747.56x = 2,319,563.30
  5. Step 5: Solve for x
    x = 2,319,563.30/1,747.56
  6. Step 6: Final answer
    x = 1,327.32

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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.