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Finding the Fourth Proportional to 31,635.36, 47,457.90 and 10,854

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Solution

The fourth proportional to 31,635.36, 47,457.90 and 10,854 is: 16,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,635.36 : 47,457.90 = 10,854 : x
  2. Step 2: Convert to fraction form
    31,635.36/47,457.90 = 10,854/x
  3. Step 3: Cross multiply
    31,635.36x = 47,457.90 × 10,854
  4. Step 4: Simplify right side
    31,635.36x = 515,108,046.60
  5. Step 5: Solve for x
    x = 515,108,046.60/31,635.36
  6. Step 6: Final answer
    x = 16,282.67

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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.