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Finding the Fourth Proportional to 31,774.50, 47,661.75 and 10,998

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Solution

The fourth proportional to 31,774.50, 47,661.75 and 10,998 is: 16,497

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.50 : 47,661.75 = 10,998 : x
  2. Step 2: Convert to fraction form
    31,774.50/47,661.75 = 10,998/x
  3. Step 3: Cross multiply
    31,774.50x = 47,661.75 × 10,998
  4. Step 4: Simplify right side
    31,774.50x = 524,183,926.50
  5. Step 5: Solve for x
    x = 524,183,926.50/31,774.50
  6. Step 6: Final answer
    x = 16,497

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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.