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Finding the Fourth Proportional to 5,688, 8,536.86 and 2,227.68

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Solution

The fourth proportional to 5,688, 8,536.86 and 2,227.68 is: 3,343.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688 : 8,536.86 = 2,227.68 : x
  2. Step 2: Convert to fraction form
    5,688/8,536.86 = 2,227.68/x
  3. Step 3: Cross multiply
    5,688x = 8,536.86 × 2,227.68
  4. Step 4: Simplify right side
    5,688x = 19,017,392.28
  5. Step 5: Solve for x
    x = 19,017,392.28/5,688
  6. Step 6: Final answer
    x = 3,343.42

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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.