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Finding the Fourth Proportional to 1,782.59, 2,674.48 and 1,123.71

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Solution

The fourth proportional to 1,782.59, 2,674.48 and 1,123.71 is: 1,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.59 : 2,674.48 = 1,123.71 : x
  2. Step 2: Convert to fraction form
    1,782.59/2,674.48 = 1,123.71/x
  3. Step 3: Cross multiply
    1,782.59x = 2,674.48 × 1,123.71
  4. Step 4: Simplify right side
    1,782.59x = 3,005,337.11
  5. Step 5: Solve for x
    x = 3,005,337.11/1,782.59
  6. Step 6: Final answer
    x = 1,685.94

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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.