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Finding the Fourth Proportional to 2,897.70, 4,346.55 and 2,581.80

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Solution

The fourth proportional to 2,897.70, 4,346.55 and 2,581.80 is: 3,872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.70 : 4,346.55 = 2,581.80 : x
  2. Step 2: Convert to fraction form
    2,897.70/4,346.55 = 2,581.80/x
  3. Step 3: Cross multiply
    2,897.70x = 4,346.55 × 2,581.80
  4. Step 4: Simplify right side
    2,897.70x = 11,221,922.79
  5. Step 5: Solve for x
    x = 11,221,922.79/2,897.70
  6. Step 6: Final answer
    x = 3,872.70

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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.