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Finding the Fourth Proportional to 2,899.53, 4,001.29 and 1,640.54

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Solution

The fourth proportional to 2,899.53, 4,001.29 and 1,640.54 is: 2,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.53 : 4,001.29 = 1,640.54 : x
  2. Step 2: Convert to fraction form
    2,899.53/4,001.29 = 1,640.54/x
  3. Step 3: Cross multiply
    2,899.53x = 4,001.29 × 1,640.54
  4. Step 4: Simplify right side
    2,899.53x = 6,564,276.30
  5. Step 5: Solve for x
    x = 6,564,276.30/2,899.53
  6. Step 6: Final answer
    x = 2,263.91

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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.