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Finding the Fourth Proportional to 2,801.40, 3,869.10 and 2,431.80

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Solution

The fourth proportional to 2,801.40, 3,869.10 and 2,431.80 is: 3,358.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.40 : 3,869.10 = 2,431.80 : x
  2. Step 2: Convert to fraction form
    2,801.40/3,869.10 = 2,431.80/x
  3. Step 3: Cross multiply
    2,801.40x = 3,869.10 × 2,431.80
  4. Step 4: Simplify right side
    2,801.40x = 9,408,877.38
  5. Step 5: Solve for x
    x = 9,408,877.38/2,801.40
  6. Step 6: Final answer
    x = 3,358.63

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1.5x scale

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.