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Finding the Fourth Proportional to 21,361.86, 29,477.04 and 12,746.45

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Solution

The fourth proportional to 21,361.86, 29,477.04 and 12,746.45 is: 17,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,361.86 : 29,477.04 = 12,746.45 : x
  2. Step 2: Convert to fraction form
    21,361.86/29,477.04 = 12,746.45/x
  3. Step 3: Cross multiply
    21,361.86x = 29,477.04 × 12,746.45
  4. Step 4: Simplify right side
    21,361.86x = 375,727,469.12
  5. Step 5: Solve for x
    x = 375,727,469.12/21,361.86
  6. Step 6: Final answer
    x = 17,588.71

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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.