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Finding the Fourth Proportional to 24.78, 37.18 and 7.66

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Solution

The fourth proportional to 24.78, 37.18 and 7.66 is: 11.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.78 : 37.18 = 7.66 : x
  2. Step 2: Convert to fraction form
    24.78/37.18 = 7.66/x
  3. Step 3: Cross multiply
    24.78x = 37.18 × 7.66
  4. Step 4: Simplify right side
    24.78x = 284.81
  5. Step 5: Solve for x
    x = 284.81/24.78
  6. Step 6: Final answer
    x = 11.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.