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Finding the Fourth Proportional to 1,882.67, 2,809.80 and 1,725.81

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Solution

The fourth proportional to 1,882.67, 2,809.80 and 1,725.81 is: 2,575.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.67 : 2,809.80 = 1,725.81 : x
  2. Step 2: Convert to fraction form
    1,882.67/2,809.80 = 1,725.81/x
  3. Step 3: Cross multiply
    1,882.67x = 2,809.80 × 1,725.81
  4. Step 4: Simplify right side
    1,882.67x = 4,849,180.94
  5. Step 5: Solve for x
    x = 4,849,180.94/1,882.67
  6. Step 6: Final answer
    x = 2,575.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.