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Finding the Fourth Proportional to 6,614.48, 9,919.71 and 2,664.47

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Solution

The fourth proportional to 6,614.48, 9,919.71 and 2,664.47 is: 3,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.48 : 9,919.71 = 2,664.47 : x
  2. Step 2: Convert to fraction form
    6,614.48/9,919.71 = 2,664.47/x
  3. Step 3: Cross multiply
    6,614.48x = 9,919.71 × 2,664.47
  4. Step 4: Simplify right side
    6,614.48x = 26,430,720.11
  5. Step 5: Solve for x
    x = 26,430,720.11/6,614.48
  6. Step 6: Final answer
    x = 3,995.89

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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.