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Finding the Fourth Proportional to 47.58, 65.66 and 26.86

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Solution

The fourth proportional to 47.58, 65.66 and 26.86 is: 37.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.58 : 65.66 = 26.86 : x
  2. Step 2: Convert to fraction form
    47.58/65.66 = 26.86/x
  3. Step 3: Cross multiply
    47.58x = 65.66 × 26.86
  4. Step 4: Simplify right side
    47.58x = 1,763.49
  5. Step 5: Solve for x
    x = 1,763.49/47.58
  6. Step 6: Final answer
    x = 37.06

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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.