Home / 2,973.11-4,102.83-1,646.78

Finding the Fourth Proportional to 2,973.11, 4,102.83 and 1,646.78

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Solution

The fourth proportional to 2,973.11, 4,102.83 and 1,646.78 is: 2,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.11 : 4,102.83 = 1,646.78 : x
  2. Step 2: Convert to fraction form
    2,973.11/4,102.83 = 1,646.78/x
  3. Step 3: Cross multiply
    2,973.11x = 4,102.83 × 1,646.78
  4. Step 4: Simplify right side
    2,973.11x = 6,756,462.50
  5. Step 5: Solve for x
    x = 6,756,462.50/2,973.11
  6. Step 6: Final answer
    x = 2,272.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.