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Finding the Fourth Proportional to 2,972.69, 4,102.11 and 1,646.52

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Solution

The fourth proportional to 2,972.69, 4,102.11 and 1,646.52 is: 2,272.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.69 : 4,102.11 = 1,646.52 : x
  2. Step 2: Convert to fraction form
    2,972.69/4,102.11 = 1,646.52/x
  3. Step 3: Cross multiply
    2,972.69x = 4,102.11 × 1,646.52
  4. Step 4: Simplify right side
    2,972.69x = 6,754,206.16
  5. Step 5: Solve for x
    x = 6,754,206.16/2,972.69
  6. Step 6: Final answer
    x = 2,272.09

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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.