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Finding the Fourth Proportional to 62.12, 93.65 and 51.50

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Solution

The fourth proportional to 62.12, 93.65 and 51.50 is: 77.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.12 : 93.65 = 51.50 : x
  2. Step 2: Convert to fraction form
    62.12/93.65 = 51.50/x
  3. Step 3: Cross multiply
    62.12x = 93.65 × 51.50
  4. Step 4: Simplify right side
    62.12x = 4,822.98
  5. Step 5: Solve for x
    x = 4,822.98/62.12
  6. Step 6: Final answer
    x = 77.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.