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Finding the Fourth Proportional to 2,655.99, 3,985.61 and 2,493.99

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Solution

The fourth proportional to 2,655.99, 3,985.61 and 2,493.99 is: 3,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.99 : 3,985.61 = 2,493.99 : x
  2. Step 2: Convert to fraction form
    2,655.99/3,985.61 = 2,493.99/x
  3. Step 3: Cross multiply
    2,655.99x = 3,985.61 × 2,493.99
  4. Step 4: Simplify right side
    2,655.99x = 9,940,059.01
  5. Step 5: Solve for x
    x = 9,940,059.01/2,655.99
  6. Step 6: Final answer
    x = 3,742.51

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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.