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Finding the Fourth Proportional to 61.83, 84.87 and 54.77

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Solution

The fourth proportional to 61.83, 84.87 and 54.77 is: 75.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.83 : 84.87 = 54.77 : x
  2. Step 2: Convert to fraction form
    61.83/84.87 = 54.77/x
  3. Step 3: Cross multiply
    61.83x = 84.87 × 54.77
  4. Step 4: Simplify right side
    61.83x = 4,647.63
  5. Step 5: Solve for x
    x = 4,647.63/61.83
  6. Step 6: Final answer
    x = 75.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.