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Finding the Fourth Proportional to 61.03, 84.19 and 36.47

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Solution

The fourth proportional to 61.03, 84.19 and 36.47 is: 50.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.03 : 84.19 = 36.47 : x
  2. Step 2: Convert to fraction form
    61.03/84.19 = 36.47/x
  3. Step 3: Cross multiply
    61.03x = 84.19 × 36.47
  4. Step 4: Simplify right side
    61.03x = 3,070.21
  5. Step 5: Solve for x
    x = 3,070.21/61.03
  6. Step 6: Final answer
    x = 50.31

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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.