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Finding the Fourth Proportional to 14,607.12, 20,157.84 and 7,983.12

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Solution

The fourth proportional to 14,607.12, 20,157.84 and 7,983.12 is: 11,016.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,607.12 : 20,157.84 = 7,983.12 : x
  2. Step 2: Convert to fraction form
    14,607.12/20,157.84 = 7,983.12/x
  3. Step 3: Cross multiply
    14,607.12x = 20,157.84 × 7,983.12
  4. Step 4: Simplify right side
    14,607.12x = 160,922,455.66
  5. Step 5: Solve for x
    x = 160,922,455.66/14,607.12
  6. Step 6: Final answer
    x = 11,016.71

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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.