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Finding the Fourth Proportional to 2,635.18, 3,953.18 and 991.84

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Solution

The fourth proportional to 2,635.18, 3,953.18 and 991.84 is: 1,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.18 : 3,953.18 = 991.84 : x
  2. Step 2: Convert to fraction form
    2,635.18/3,953.18 = 991.84/x
  3. Step 3: Cross multiply
    2,635.18x = 3,953.18 × 991.84
  4. Step 4: Simplify right side
    2,635.18x = 3,920,922.05
  5. Step 5: Solve for x
    x = 3,920,922.05/2,635.18
  6. Step 6: Final answer
    x = 1,487.91

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1.5x scale

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.