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Finding the Fourth Proportional to 21,904.66, 32,831.74 and 9,406.09

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Solution

The fourth proportional to 21,904.66, 32,831.74 and 9,406.09 is: 14,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,904.66 : 32,831.74 = 9,406.09 : x
  2. Step 2: Convert to fraction form
    21,904.66/32,831.74 = 9,406.09/x
  3. Step 3: Cross multiply
    21,904.66x = 32,831.74 × 9,406.09
  4. Step 4: Simplify right side
    21,904.66x = 308,818,301.30
  5. Step 5: Solve for x
    x = 308,818,301.30/21,904.66
  6. Step 6: Final answer
    x = 14,098.29

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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.