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Finding the Fourth Proportional to 14,612, 20,164.56 and 7,988

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Solution

The fourth proportional to 14,612, 20,164.56 and 7,988 is: 11,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612 : 20,164.56 = 7,988 : x
  2. Step 2: Convert to fraction form
    14,612/20,164.56 = 7,988/x
  3. Step 3: Cross multiply
    14,612x = 20,164.56 × 7,988
  4. Step 4: Simplify right side
    14,612x = 161,074,505.28
  5. Step 5: Solve for x
    x = 161,074,505.28/14,612
  6. Step 6: Final answer
    x = 11,023.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.