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Finding the Fourth Proportional to 21,617, 29,831.46 and 11,681

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Solution

The fourth proportional to 21,617, 29,831.46 and 11,681 is: 16,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,617 : 29,831.46 = 11,681 : x
  2. Step 2: Convert to fraction form
    21,617/29,831.46 = 11,681/x
  3. Step 3: Cross multiply
    21,617x = 29,831.46 × 11,681
  4. Step 4: Simplify right side
    21,617x = 348,461,284.26
  5. Step 5: Solve for x
    x = 348,461,284.26/21,617
  6. Step 6: Final answer
    x = 16,119.78

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Why These Related Problems?

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