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Finding the Fourth Proportional to 1,871.67, 2,582.07 and 1,208.28

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Solution

The fourth proportional to 1,871.67, 2,582.07 and 1,208.28 is: 1,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.67 : 2,582.07 = 1,208.28 : x
  2. Step 2: Convert to fraction form
    1,871.67/2,582.07 = 1,208.28/x
  3. Step 3: Cross multiply
    1,871.67x = 2,582.07 × 1,208.28
  4. Step 4: Simplify right side
    1,871.67x = 3,119,863.54
  5. Step 5: Solve for x
    x = 3,119,863.54/1,871.67
  6. Step 6: Final answer
    x = 1,666.89

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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.