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Finding the Fourth Proportional to 14,803.62, 20,429 and 7,997.64

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Solution

The fourth proportional to 14,803.62, 20,429 and 7,997.64 is: 11,036.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,803.62 : 20,429 = 7,997.64 : x
  2. Step 2: Convert to fraction form
    14,803.62/20,429 = 7,997.64/x
  3. Step 3: Cross multiply
    14,803.62x = 20,429 × 7,997.64
  4. Step 4: Simplify right side
    14,803.62x = 163,383,787.56
  5. Step 5: Solve for x
    x = 163,383,787.56/14,803.62
  6. Step 6: Final answer
    x = 11,036.75

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1.5x scale

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.