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Finding the Fourth Proportional to 10,687, 16,028.52 and 2,894.80

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Solution

The fourth proportional to 10,687, 16,028.52 and 2,894.80 is: 4,341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687 : 16,028.52 = 2,894.80 : x
  2. Step 2: Convert to fraction form
    10,687/16,028.52 = 2,894.80/x
  3. Step 3: Cross multiply
    10,687x = 16,028.52 × 2,894.80
  4. Step 4: Simplify right side
    10,687x = 46,399,359.70
  5. Step 5: Solve for x
    x = 46,399,359.70/10,687
  6. Step 6: Final answer
    x = 4,341.66

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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.