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Finding the Fourth Proportional to 58, 86.60 and 47.84

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Solution

The fourth proportional to 58, 86.60 and 47.84 is: 71.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58 : 86.60 = 47.84 : x
  2. Step 2: Convert to fraction form
    58/86.60 = 47.84/x
  3. Step 3: Cross multiply
    58x = 86.60 × 47.84
  4. Step 4: Simplify right side
    58x = 4,142.94
  5. Step 5: Solve for x
    x = 4,142.94/58
  6. Step 6: Final answer
    x = 71.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.