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Finding the Fourth Proportional to 14,608, 20,164.16 and 8,720

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Solution

The fourth proportional to 14,608, 20,164.16 and 8,720 is: 12,036.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,608 : 20,164.16 = 8,720 : x
  2. Step 2: Convert to fraction form
    14,608/20,164.16 = 8,720/x
  3. Step 3: Cross multiply
    14,608x = 20,164.16 × 8,720
  4. Step 4: Simplify right side
    14,608x = 175,831,475.20
  5. Step 5: Solve for x
    x = 175,831,475.20/14,608
  6. Step 6: Final answer
    x = 12,036.66

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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.