Home / 3,538.86-5,301.93-1,977

Finding the Fourth Proportional to 3,538.86, 5,301.93 and 1,977

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Solution

The fourth proportional to 3,538.86, 5,301.93 and 1,977 is: 2,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.86 : 5,301.93 = 1,977 : x
  2. Step 2: Convert to fraction form
    3,538.86/5,301.93 = 1,977/x
  3. Step 3: Cross multiply
    3,538.86x = 5,301.93 × 1,977
  4. Step 4: Simplify right side
    3,538.86x = 10,481,915.61
  5. Step 5: Solve for x
    x = 10,481,915.61/3,538.86
  6. Step 6: Final answer
    x = 2,961.95

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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.