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Finding the Fourth Proportional to 51.39, 70.85 and 39.59

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Solution

The fourth proportional to 51.39, 70.85 and 39.59 is: 54.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.39 : 70.85 = 39.59 : x
  2. Step 2: Convert to fraction form
    51.39/70.85 = 39.59/x
  3. Step 3: Cross multiply
    51.39x = 70.85 × 39.59
  4. Step 4: Simplify right side
    51.39x = 2,804.40
  5. Step 5: Solve for x
    x = 2,804.40/51.39
  6. Step 6: Final answer
    x = 54.58

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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.