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Finding the Fourth Proportional to 38,603, 53,272.14 and 20,939

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Solution

The fourth proportional to 38,603, 53,272.14 and 20,939 is: 28,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,603 : 53,272.14 = 20,939 : x
  2. Step 2: Convert to fraction form
    38,603/53,272.14 = 20,939/x
  3. Step 3: Cross multiply
    38,603x = 53,272.14 × 20,939
  4. Step 4: Simplify right side
    38,603x = 1,115,465,339.46
  5. Step 5: Solve for x
    x = 1,115,465,339.46/38,603
  6. Step 6: Final answer
    x = 28,895.82

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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.