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Finding the Fourth Proportional to 31,163, 46,744.50 and 9,275

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Solution

The fourth proportional to 31,163, 46,744.50 and 9,275 is: 13,912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,163 : 46,744.50 = 9,275 : x
  2. Step 2: Convert to fraction form
    31,163/46,744.50 = 9,275/x
  3. Step 3: Cross multiply
    31,163x = 46,744.50 × 9,275
  4. Step 4: Simplify right side
    31,163x = 433,555,237.50
  5. Step 5: Solve for x
    x = 433,555,237.50/31,163
  6. Step 6: Final answer
    x = 13,912.50

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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.