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Finding the Fourth Proportional to 29,221, 43,831.50 and 9,765

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Solution

The fourth proportional to 29,221, 43,831.50 and 9,765 is: 14,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,221 : 43,831.50 = 9,765 : x
  2. Step 2: Convert to fraction form
    29,221/43,831.50 = 9,765/x
  3. Step 3: Cross multiply
    29,221x = 43,831.50 × 9,765
  4. Step 4: Simplify right side
    29,221x = 428,014,597.50
  5. Step 5: Solve for x
    x = 428,014,597.50/29,221
  6. Step 6: Final answer
    x = 14,647.50

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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.