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Finding the Fourth Proportional to 47.09, 70.64 and 26.79

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Solution

The fourth proportional to 47.09, 70.64 and 26.79 is: 40.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.09 : 70.64 = 26.79 : x
  2. Step 2: Convert to fraction form
    47.09/70.64 = 26.79/x
  3. Step 3: Cross multiply
    47.09x = 70.64 × 26.79
  4. Step 4: Simplify right side
    47.09x = 1,892.45
  5. Step 5: Solve for x
    x = 1,892.45/47.09
  6. Step 6: Final answer
    x = 40.19

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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.