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Finding the Fourth Proportional to 5,687, 8,535.36 and 2,226.68

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Solution

The fourth proportional to 5,687, 8,535.36 and 2,226.68 is: 3,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687 : 8,535.36 = 2,226.68 : x
  2. Step 2: Convert to fraction form
    5,687/8,535.36 = 2,226.68/x
  3. Step 3: Cross multiply
    5,687x = 8,535.36 × 2,226.68
  4. Step 4: Simplify right side
    5,687x = 19,005,515.40
  5. Step 5: Solve for x
    x = 19,005,515.40/5,687
  6. Step 6: Final answer
    x = 3,341.92

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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.