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Finding the Fourth Proportional to 26.58, 39.72 and 24.60

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Solution

The fourth proportional to 26.58, 39.72 and 24.60 is: 36.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.58 : 39.72 = 24.60 : x
  2. Step 2: Convert to fraction form
    26.58/39.72 = 24.60/x
  3. Step 3: Cross multiply
    26.58x = 39.72 × 24.60
  4. Step 4: Simplify right side
    26.58x = 977.15
  5. Step 5: Solve for x
    x = 977.15/26.58
  6. Step 6: Final answer
    x = 36.77

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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.