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Finding the Fourth Proportional to 1,869.82, 2,800.68 and 1,218.58

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Solution

The fourth proportional to 1,869.82, 2,800.68 and 1,218.58 is: 1,825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.82 : 2,800.68 = 1,218.58 : x
  2. Step 2: Convert to fraction form
    1,869.82/2,800.68 = 1,218.58/x
  3. Step 3: Cross multiply
    1,869.82x = 2,800.68 × 1,218.58
  4. Step 4: Simplify right side
    1,869.82x = 3,412,852.63
  5. Step 5: Solve for x
    x = 3,412,852.63/1,869.82
  6. Step 6: Final answer
    x = 1,825.23

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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.