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Finding the Fourth Proportional to 2,804, 3,869.64 and 1,562

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Solution

The fourth proportional to 2,804, 3,869.64 and 1,562 is: 2,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804 : 3,869.64 = 1,562 : x
  2. Step 2: Convert to fraction form
    2,804/3,869.64 = 1,562/x
  3. Step 3: Cross multiply
    2,804x = 3,869.64 × 1,562
  4. Step 4: Simplify right side
    2,804x = 6,044,377.68
  5. Step 5: Solve for x
    x = 6,044,377.68/2,804
  6. Step 6: Final answer
    x = 2,155.63

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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.