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Finding the Fourth Proportional to 21,831.72, 32,749.96 and 7,795

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Solution

The fourth proportional to 21,831.72, 32,749.96 and 7,795 is: 11,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,831.72 : 32,749.96 = 7,795 : x
  2. Step 2: Convert to fraction form
    21,831.72/32,749.96 = 7,795/x
  3. Step 3: Cross multiply
    21,831.72x = 32,749.96 × 7,795
  4. Step 4: Simplify right side
    21,831.72x = 255,285,938.20
  5. Step 5: Solve for x
    x = 255,285,938.20/21,831.72
  6. Step 6: Final answer
    x = 11,693.35

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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.