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Finding the Fourth Proportional to 2,901.97, 4,004.66 and 1,643

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Solution

The fourth proportional to 2,901.97, 4,004.66 and 1,643 is: 2,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.97 : 4,004.66 = 1,643 : x
  2. Step 2: Convert to fraction form
    2,901.97/4,004.66 = 1,643/x
  3. Step 3: Cross multiply
    2,901.97x = 4,004.66 × 1,643
  4. Step 4: Simplify right side
    2,901.97x = 6,579,656.38
  5. Step 5: Solve for x
    x = 6,579,656.38/2,901.97
  6. Step 6: Final answer
    x = 2,267.31

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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.