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Finding the Fourth Proportional to 1,777.83, 2,453.72 and 1,723.11

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Solution

The fourth proportional to 1,777.83, 2,453.72 and 1,723.11 is: 2,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.83 : 2,453.72 = 1,723.11 : x
  2. Step 2: Convert to fraction form
    1,777.83/2,453.72 = 1,723.11/x
  3. Step 3: Cross multiply
    1,777.83x = 2,453.72 × 1,723.11
  4. Step 4: Simplify right side
    1,777.83x = 4,228,029.47
  5. Step 5: Solve for x
    x = 4,228,029.47/1,777.83
  6. Step 6: Final answer
    x = 2,378.20

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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.