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Finding the Fourth Proportional to 21,403, 29,536.14 and 13,951

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Solution

The fourth proportional to 21,403, 29,536.14 and 13,951 is: 19,252.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,403 : 29,536.14 = 13,951 : x
  2. Step 2: Convert to fraction form
    21,403/29,536.14 = 13,951/x
  3. Step 3: Cross multiply
    21,403x = 29,536.14 × 13,951
  4. Step 4: Simplify right side
    21,403x = 412,058,689.14
  5. Step 5: Solve for x
    x = 412,058,689.14/21,403
  6. Step 6: Final answer
    x = 19,252.38

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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.