Home / 1,977.30-2,962.14-1,108.98

Finding the Fourth Proportional to 1,977.30, 2,962.14 and 1,108.98

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Solution

The fourth proportional to 1,977.30, 2,962.14 and 1,108.98 is: 1,661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.30 : 2,962.14 = 1,108.98 : x
  2. Step 2: Convert to fraction form
    1,977.30/2,962.14 = 1,108.98/x
  3. Step 3: Cross multiply
    1,977.30x = 2,962.14 × 1,108.98
  4. Step 4: Simplify right side
    1,977.30x = 3,284,954.02
  5. Step 5: Solve for x
    x = 3,284,954.02/1,977.30
  6. Step 6: Final answer
    x = 1,661.33

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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.