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Finding the Fourth Proportional to 2,511, 3,461.40 and 2,214.54

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Solution

The fourth proportional to 2,511, 3,461.40 and 2,214.54 is: 3,052.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511 : 3,461.40 = 2,214.54 : x
  2. Step 2: Convert to fraction form
    2,511/3,461.40 = 2,214.54/x
  3. Step 3: Cross multiply
    2,511x = 3,461.40 × 2,214.54
  4. Step 4: Simplify right side
    2,511x = 7,665,408.76
  5. Step 5: Solve for x
    x = 7,665,408.76/2,511
  6. Step 6: Final answer
    x = 3,052.73

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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.