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Finding the Fourth Proportional to 2,511, 3,762.60 and 1,686.12

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Solution

The fourth proportional to 2,511, 3,762.60 and 1,686.12 is: 2,526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511 : 3,762.60 = 1,686.12 : x
  2. Step 2: Convert to fraction form
    2,511/3,762.60 = 1,686.12/x
  3. Step 3: Cross multiply
    2,511x = 3,762.60 × 1,686.12
  4. Step 4: Simplify right side
    2,511x = 6,344,195.11
  5. Step 5: Solve for x
    x = 6,344,195.11/2,511
  6. Step 6: Final answer
    x = 2,526.56

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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.