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Finding the Fourth Proportional to 5,640.38, 8,460.56 and 1,536.38

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Solution

The fourth proportional to 5,640.38, 8,460.56 and 1,536.38 is: 2,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.38 : 8,460.56 = 1,536.38 : x
  2. Step 2: Convert to fraction form
    5,640.38/8,460.56 = 1,536.38/x
  3. Step 3: Cross multiply
    5,640.38x = 8,460.56 × 1,536.38
  4. Step 4: Simplify right side
    5,640.38x = 12,998,596.71
  5. Step 5: Solve for x
    x = 12,998,596.71/5,640.38
  6. Step 6: Final answer
    x = 2,304.56

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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.