Home / 3,708.80-5,564.82-1,977

Finding the Fourth Proportional to 3,708.80, 5,564.82 and 1,977

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Solution

The fourth proportional to 3,708.80, 5,564.82 and 1,977 is: 2,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.80 : 5,564.82 = 1,977 : x
  2. Step 2: Convert to fraction form
    3,708.80/5,564.82 = 1,977/x
  3. Step 3: Cross multiply
    3,708.80x = 5,564.82 × 1,977
  4. Step 4: Simplify right side
    3,708.80x = 11,001,649.14
  5. Step 5: Solve for x
    x = 11,001,649.14/3,708.80
  6. Step 6: Final answer
    x = 2,966.36

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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.