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Finding the Fourth Proportional to 2,872.04, 4,308.05 and 1,897.91

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Solution

The fourth proportional to 2,872.04, 4,308.05 and 1,897.91 is: 2,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.04 : 4,308.05 = 1,897.91 : x
  2. Step 2: Convert to fraction form
    2,872.04/4,308.05 = 1,897.91/x
  3. Step 3: Cross multiply
    2,872.04x = 4,308.05 × 1,897.91
  4. Step 4: Simplify right side
    2,872.04x = 8,176,290.54
  5. Step 5: Solve for x
    x = 8,176,290.54/2,872.04
  6. Step 6: Final answer
    x = 2,846.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.