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Finding the Fourth Proportional to 5,776.32, 8,664.48 and 3,720

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Solution

The fourth proportional to 5,776.32, 8,664.48 and 3,720 is: 5,580

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.32 : 8,664.48 = 3,720 : x
  2. Step 2: Convert to fraction form
    5,776.32/8,664.48 = 3,720/x
  3. Step 3: Cross multiply
    5,776.32x = 8,664.48 × 3,720
  4. Step 4: Simplify right side
    5,776.32x = 32,231,865.60
  5. Step 5: Solve for x
    x = 32,231,865.60/5,776.32
  6. Step 6: Final answer
    x = 5,580

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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.