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Finding the Fourth Proportional to 2,635.18, 3,954.32 and 991.68

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Solution

The fourth proportional to 2,635.18, 3,954.32 and 991.68 is: 1,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.18 : 3,954.32 = 991.68 : x
  2. Step 2: Convert to fraction form
    2,635.18/3,954.32 = 991.68/x
  3. Step 3: Cross multiply
    2,635.18x = 3,954.32 × 991.68
  4. Step 4: Simplify right side
    2,635.18x = 3,921,420.06
  5. Step 5: Solve for x
    x = 3,921,420.06/2,635.18
  6. Step 6: Final answer
    x = 1,488.10

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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.