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Finding the Fourth Proportional to 37.07, 51.15 and 24.79

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Solution

The fourth proportional to 37.07, 51.15 and 24.79 is: 34.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.07 : 51.15 = 24.79 : x
  2. Step 2: Convert to fraction form
    37.07/51.15 = 24.79/x
  3. Step 3: Cross multiply
    37.07x = 51.15 × 24.79
  4. Step 4: Simplify right side
    37.07x = 1,268.01
  5. Step 5: Solve for x
    x = 1,268.01/37.07
  6. Step 6: Final answer
    x = 34.21

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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.