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Finding the Fourth Proportional to 21,536.88, 29,713.53 and 13,465.02

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Solution

The fourth proportional to 21,536.88, 29,713.53 and 13,465.02 is: 18,577.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,536.88 : 29,713.53 = 13,465.02 : x
  2. Step 2: Convert to fraction form
    21,536.88/29,713.53 = 13,465.02/x
  3. Step 3: Cross multiply
    21,536.88x = 29,713.53 × 13,465.02
  4. Step 4: Simplify right side
    21,536.88x = 400,093,275.72
  5. Step 5: Solve for x
    x = 400,093,275.72/21,536.88
  6. Step 6: Final answer
    x = 18,577.12

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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.