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Finding the Fourth Proportional to 31,857.68, 47,808.12 and 11,081.12

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Solution

The fourth proportional to 31,857.68, 47,808.12 and 11,081.12 is: 16,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,857.68 : 47,808.12 = 11,081.12 : x
  2. Step 2: Convert to fraction form
    31,857.68/47,808.12 = 11,081.12/x
  3. Step 3: Cross multiply
    31,857.68x = 47,808.12 × 11,081.12
  4. Step 4: Simplify right side
    31,857.68x = 529,767,514.69
  5. Step 5: Solve for x
    x = 529,767,514.69/31,857.68
  6. Step 6: Final answer
    x = 16,629.19

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1.5x scale

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.