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Finding the Fourth Proportional to 55.76, 83.70 and 47.84

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Solution

The fourth proportional to 55.76, 83.70 and 47.84 is: 71.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.76 : 83.70 = 47.84 : x
  2. Step 2: Convert to fraction form
    55.76/83.70 = 47.84/x
  3. Step 3: Cross multiply
    55.76x = 83.70 × 47.84
  4. Step 4: Simplify right side
    55.76x = 4,004.21
  5. Step 5: Solve for x
    x = 4,004.21/55.76
  6. Step 6: Final answer
    x = 71.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.