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Finding the Fourth Proportional to 5,687, 8,529.66 and 1,792.36

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Solution

The fourth proportional to 5,687, 8,529.66 and 1,792.36 is: 2,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687 : 8,529.66 = 1,792.36 : x
  2. Step 2: Convert to fraction form
    5,687/8,529.66 = 1,792.36/x
  3. Step 3: Cross multiply
    5,687x = 8,529.66 × 1,792.36
  4. Step 4: Simplify right side
    5,687x = 15,288,221.40
  5. Step 5: Solve for x
    x = 15,288,221.40/5,687
  6. Step 6: Final answer
    x = 2,688.28

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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.