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Finding the Fourth Proportional to 31,110, 46,665 and 9,222

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Solution

The fourth proportional to 31,110, 46,665 and 9,222 is: 13,833

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,110 : 46,665 = 9,222 : x
  2. Step 2: Convert to fraction form
    31,110/46,665 = 9,222/x
  3. Step 3: Cross multiply
    31,110x = 46,665 × 9,222
  4. Step 4: Simplify right side
    31,110x = 430,344,630
  5. Step 5: Solve for x
    x = 430,344,630/31,110
  6. Step 6: Final answer
    x = 13,833

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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.