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Finding the Fourth Proportional to 1,777.75, 2,447.72 and 1,511.66

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Solution

The fourth proportional to 1,777.75, 2,447.72 and 1,511.66 is: 2,081.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.75 : 2,447.72 = 1,511.66 : x
  2. Step 2: Convert to fraction form
    1,777.75/2,447.72 = 1,511.66/x
  3. Step 3: Cross multiply
    1,777.75x = 2,447.72 × 1,511.66
  4. Step 4: Simplify right side
    1,777.75x = 3,700,124.64
  5. Step 5: Solve for x
    x = 3,700,124.64/1,777.75
  6. Step 6: Final answer
    x = 2,081.36

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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.