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Finding the Fourth Proportional to 20,489, 28,274.73 and 11,536.52

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Solution

The fourth proportional to 20,489, 28,274.73 and 11,536.52 is: 15,920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489 : 28,274.73 = 11,536.52 : x
  2. Step 2: Convert to fraction form
    20,489/28,274.73 = 11,536.52/x
  3. Step 3: Cross multiply
    20,489x = 28,274.73 × 11,536.52
  4. Step 4: Simplify right side
    20,489x = 326,191,988.14
  5. Step 5: Solve for x
    x = 326,191,988.14/20,489
  6. Step 6: Final answer
    x = 15,920.35

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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.