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Finding the Fourth Proportional to 21,464, 29,620.48 and 13,079.04

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Solution

The fourth proportional to 21,464, 29,620.48 and 13,079.04 is: 18,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,464 : 29,620.48 = 13,079.04 : x
  2. Step 2: Convert to fraction form
    21,464/29,620.48 = 13,079.04/x
  3. Step 3: Cross multiply
    21,464x = 29,620.48 × 13,079.04
  4. Step 4: Simplify right side
    21,464x = 387,407,442.74
  5. Step 5: Solve for x
    x = 387,407,442.74/21,464
  6. Step 6: Final answer
    x = 18,049.17

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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.