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Finding the Fourth Proportional to 12,196.34, 16,831.49 and 6,891.24

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Solution

The fourth proportional to 12,196.34, 16,831.49 and 6,891.24 is: 9,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.34 : 16,831.49 = 6,891.24 : x
  2. Step 2: Convert to fraction form
    12,196.34/16,831.49 = 6,891.24/x
  3. Step 3: Cross multiply
    12,196.34x = 16,831.49 × 6,891.24
  4. Step 4: Simplify right side
    12,196.34x = 115,989,802.69
  5. Step 5: Solve for x
    x = 115,989,802.69/12,196.34
  6. Step 6: Final answer
    x = 9,510.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.