Home / 1,635.62-2,447.37-977.86

Finding the Fourth Proportional to 1,635.62, 2,447.37 and 977.86

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Solution

The fourth proportional to 1,635.62, 2,447.37 and 977.86 is: 1,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.62 : 2,447.37 = 977.86 : x
  2. Step 2: Convert to fraction form
    1,635.62/2,447.37 = 977.86/x
  3. Step 3: Cross multiply
    1,635.62x = 2,447.37 × 977.86
  4. Step 4: Simplify right side
    1,635.62x = 2,393,185.23
  5. Step 5: Solve for x
    x = 2,393,185.23/1,635.62
  6. Step 6: Final answer
    x = 1,463.17

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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.