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Finding the Fourth Proportional to 31,709.69, 43,764.04 and 18,278.32

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Solution

The fourth proportional to 31,709.69, 43,764.04 and 18,278.32 is: 25,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.69 : 43,764.04 = 18,278.32 : x
  2. Step 2: Convert to fraction form
    31,709.69/43,764.04 = 18,278.32/x
  3. Step 3: Cross multiply
    31,709.69x = 43,764.04 × 18,278.32
  4. Step 4: Simplify right side
    31,709.69x = 799,933,127.61
  5. Step 5: Solve for x
    x = 799,933,127.61/31,709.69
  6. Step 6: Final answer
    x = 25,226.77

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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.