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Finding the Fourth Proportional to 45.82, 68.59 and 25.47

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Solution

The fourth proportional to 45.82, 68.59 and 25.47 is: 38.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.82 : 68.59 = 25.47 : x
  2. Step 2: Convert to fraction form
    45.82/68.59 = 25.47/x
  3. Step 3: Cross multiply
    45.82x = 68.59 × 25.47
  4. Step 4: Simplify right side
    45.82x = 1,746.99
  5. Step 5: Solve for x
    x = 1,746.99/45.82
  6. Step 6: Final answer
    x = 38.13

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