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Finding the Fourth Proportional to 31,109, 46,663.50 and 9,221

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Solution

The fourth proportional to 31,109, 46,663.50 and 9,221 is: 13,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,109 : 46,663.50 = 9,221 : x
  2. Step 2: Convert to fraction form
    31,109/46,663.50 = 9,221/x
  3. Step 3: Cross multiply
    31,109x = 46,663.50 × 9,221
  4. Step 4: Simplify right side
    31,109x = 430,284,133.50
  5. Step 5: Solve for x
    x = 430,284,133.50/31,109
  6. Step 6: Final answer
    x = 13,831.50

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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.