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Finding the Fourth Proportional to 62.83, 86.73 and 42.13

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Solution

The fourth proportional to 62.83, 86.73 and 42.13 is: 58.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.83 : 86.73 = 42.13 : x
  2. Step 2: Convert to fraction form
    62.83/86.73 = 42.13/x
  3. Step 3: Cross multiply
    62.83x = 86.73 × 42.13
  4. Step 4: Simplify right side
    62.83x = 3,653.93
  5. Step 5: Solve for x
    x = 3,653.93/62.83
  6. Step 6: Final answer
    x = 58.16

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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.