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Finding the Fourth Proportional to 2,899.53, 4,001.22 and 1,640.70

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Solution

The fourth proportional to 2,899.53, 4,001.22 and 1,640.70 is: 2,264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.53 : 4,001.22 = 1,640.70 : x
  2. Step 2: Convert to fraction form
    2,899.53/4,001.22 = 1,640.70/x
  3. Step 3: Cross multiply
    2,899.53x = 4,001.22 × 1,640.70
  4. Step 4: Simplify right side
    2,899.53x = 6,564,801.65
  5. Step 5: Solve for x
    x = 6,564,801.65/2,899.53
  6. Step 6: Final answer
    x = 2,264.09

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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.