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Finding the Fourth Proportional to 31,653.36, 47,484.90 and 10,872

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Solution

The fourth proportional to 31,653.36, 47,484.90 and 10,872 is: 16,309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,653.36 : 47,484.90 = 10,872 : x
  2. Step 2: Convert to fraction form
    31,653.36/47,484.90 = 10,872/x
  3. Step 3: Cross multiply
    31,653.36x = 47,484.90 × 10,872
  4. Step 4: Simplify right side
    31,653.36x = 516,255,832.80
  5. Step 5: Solve for x
    x = 516,255,832.80/31,653.36
  6. Step 6: Final answer
    x = 16,309.67

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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.