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Finding the Fourth Proportional to 34.51, 47.58 and 25.75

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Solution

The fourth proportional to 34.51, 47.58 and 25.75 is: 35.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.51 : 47.58 = 25.75 : x
  2. Step 2: Convert to fraction form
    34.51/47.58 = 25.75/x
  3. Step 3: Cross multiply
    34.51x = 47.58 × 25.75
  4. Step 4: Simplify right side
    34.51x = 1,225.19
  5. Step 5: Solve for x
    x = 1,225.19/34.51
  6. Step 6: Final answer
    x = 35.50

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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.