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Finding the Fourth Proportional to 8,652, 12,976.78 and 4,942.20

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Solution

The fourth proportional to 8,652, 12,976.78 and 4,942.20 is: 7,412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652 : 12,976.78 = 4,942.20 : x
  2. Step 2: Convert to fraction form
    8,652/12,976.78 = 4,942.20/x
  3. Step 3: Cross multiply
    8,652x = 12,976.78 × 4,942.20
  4. Step 4: Simplify right side
    8,652x = 64,133,842.12
  5. Step 5: Solve for x
    x = 64,133,842.12/8,652
  6. Step 6: Final answer
    x = 7,412.60

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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.