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Finding the Fourth Proportional to 1,871.69, 2,800.58 and 1,128.65

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Solution

The fourth proportional to 1,871.69, 2,800.58 and 1,128.65 is: 1,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.69 : 2,800.58 = 1,128.65 : x
  2. Step 2: Convert to fraction form
    1,871.69/2,800.58 = 1,128.65/x
  3. Step 3: Cross multiply
    1,871.69x = 2,800.58 × 1,128.65
  4. Step 4: Simplify right side
    1,871.69x = 3,160,854.97
  5. Step 5: Solve for x
    x = 3,160,854.97/1,871.69
  6. Step 6: Final answer
    x = 1,688.78

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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.