Home / 2,972.96-4,102.91-1,646.78

Finding the Fourth Proportional to 2,972.96, 4,102.91 and 1,646.78

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Solution

The fourth proportional to 2,972.96, 4,102.91 and 1,646.78 is: 2,272.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.96 : 4,102.91 = 1,646.78 : x
  2. Step 2: Convert to fraction form
    2,972.96/4,102.91 = 1,646.78/x
  3. Step 3: Cross multiply
    2,972.96x = 4,102.91 × 1,646.78
  4. Step 4: Simplify right side
    2,972.96x = 6,756,604.50
  5. Step 5: Solve for x
    x = 6,756,604.50/2,972.96
  6. Step 6: Final answer
    x = 2,272.69

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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.