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Finding the Fourth Proportional to 2,899.62, 4,001.49 and 1,640.90

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Solution

The fourth proportional to 2,899.62, 4,001.49 and 1,640.90 is: 2,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.62 : 4,001.49 = 1,640.90 : x
  2. Step 2: Convert to fraction form
    2,899.62/4,001.49 = 1,640.90/x
  3. Step 3: Cross multiply
    2,899.62x = 4,001.49 × 1,640.90
  4. Step 4: Simplify right side
    2,899.62x = 6,566,044.94
  5. Step 5: Solve for x
    x = 6,566,044.94/2,899.62
  6. Step 6: Final answer
    x = 2,264.45

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1.5x scale

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.