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Finding the Fourth Proportional to 51.83, 71.05 and 51.74

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Solution

The fourth proportional to 51.83, 71.05 and 51.74 is: 70.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.83 : 71.05 = 51.74 : x
  2. Step 2: Convert to fraction form
    51.83/71.05 = 51.74/x
  3. Step 3: Cross multiply
    51.83x = 71.05 × 51.74
  4. Step 4: Simplify right side
    51.83x = 3,675.87
  5. Step 5: Solve for x
    x = 3,675.87/51.83
  6. Step 6: Final answer
    x = 70.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.