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Finding the Fourth Proportional to 2,886.50, 4,329.76 and 695.23

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Solution

The fourth proportional to 2,886.50, 4,329.76 and 695.23 is: 1,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.50 : 4,329.76 = 695.23 : x
  2. Step 2: Convert to fraction form
    2,886.50/4,329.76 = 695.23/x
  3. Step 3: Cross multiply
    2,886.50x = 4,329.76 × 695.23
  4. Step 4: Simplify right side
    2,886.50x = 3,010,179.04
  5. Step 5: Solve for x
    x = 3,010,179.04/2,886.50
  6. Step 6: Final answer
    x = 1,042.85

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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.