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Finding the Fourth Proportional to 34.64, 51.78 and 24.50

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Solution

The fourth proportional to 34.64, 51.78 and 24.50 is: 36.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.64 : 51.78 = 24.50 : x
  2. Step 2: Convert to fraction form
    34.64/51.78 = 24.50/x
  3. Step 3: Cross multiply
    34.64x = 51.78 × 24.50
  4. Step 4: Simplify right side
    34.64x = 1,268.66
  5. Step 5: Solve for x
    x = 1,268.66/34.64
  6. Step 6: Final answer
    x = 36.62

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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.