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Finding the Fourth Proportional to 35.74, 53.61 and 11.69

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Solution

The fourth proportional to 35.74, 53.61 and 11.69 is: 17.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.74 : 53.61 = 11.69 : x
  2. Step 2: Convert to fraction form
    35.74/53.61 = 11.69/x
  3. Step 3: Cross multiply
    35.74x = 53.61 × 11.69
  4. Step 4: Simplify right side
    35.74x = 626.70
  5. Step 5: Solve for x
    x = 626.70/35.74
  6. Step 6: Final answer
    x = 17.54

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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.