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Finding the Fourth Proportional to 31,110.88, 42,932.08 and 16,964

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Solution

The fourth proportional to 31,110.88, 42,932.08 and 16,964 is: 23,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,110.88 : 42,932.08 = 16,964 : x
  2. Step 2: Convert to fraction form
    31,110.88/42,932.08 = 16,964/x
  3. Step 3: Cross multiply
    31,110.88x = 42,932.08 × 16,964
  4. Step 4: Simplify right side
    31,110.88x = 728,299,805.12
  5. Step 5: Solve for x
    x = 728,299,805.12/31,110.88
  6. Step 6: Final answer
    x = 23,409.81

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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.