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Finding the Fourth Proportional to 61.60, 84.78 and 47.08

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Solution

The fourth proportional to 61.60, 84.78 and 47.08 is: 64.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.60 : 84.78 = 47.08 : x
  2. Step 2: Convert to fraction form
    61.60/84.78 = 47.08/x
  3. Step 3: Cross multiply
    61.60x = 84.78 × 47.08
  4. Step 4: Simplify right side
    61.60x = 3,991.44
  5. Step 5: Solve for x
    x = 3,991.44/61.60
  6. Step 6: Final answer
    x = 64.80

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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.