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Finding the Fourth Proportional to 5,640.36, 8,460.60 and 1,536.36

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Solution

The fourth proportional to 5,640.36, 8,460.60 and 1,536.36 is: 2,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.36 : 8,460.60 = 1,536.36 : x
  2. Step 2: Convert to fraction form
    5,640.36/8,460.60 = 1,536.36/x
  3. Step 3: Cross multiply
    5,640.36x = 8,460.60 × 1,536.36
  4. Step 4: Simplify right side
    5,640.36x = 12,998,527.42
  5. Step 5: Solve for x
    x = 12,998,527.42/5,640.36
  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.