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Finding the Fourth Proportional to 2,801.70, 3,870 and 2,272.55

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Solution

The fourth proportional to 2,801.70, 3,870 and 2,272.55 is: 3,139.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.70 : 3,870 = 2,272.55 : x
  2. Step 2: Convert to fraction form
    2,801.70/3,870 = 2,272.55/x
  3. Step 3: Cross multiply
    2,801.70x = 3,870 × 2,272.55
  4. Step 4: Simplify right side
    2,801.70x = 8,794,749.15
  5. Step 5: Solve for x
    x = 8,794,749.15/2,801.70
  6. Step 6: Final answer
    x = 3,139.08

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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.