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Finding the Fourth Proportional to 60.96, 84.15 and 47.19

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Solution

The fourth proportional to 60.96, 84.15 and 47.19 is: 65.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.96 : 84.15 = 47.19 : x
  2. Step 2: Convert to fraction form
    60.96/84.15 = 47.19/x
  3. Step 3: Cross multiply
    60.96x = 84.15 × 47.19
  4. Step 4: Simplify right side
    60.96x = 3,971.04
  5. Step 5: Solve for x
    x = 3,971.04/60.96
  6. Step 6: Final answer
    x = 65.14

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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.