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Finding the Fourth Proportional to 13.03, 19.58 and 8.53

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Solution

The fourth proportional to 13.03, 19.58 and 8.53 is: 12.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.03 : 19.58 = 8.53 : x
  2. Step 2: Convert to fraction form
    13.03/19.58 = 8.53/x
  3. Step 3: Cross multiply
    13.03x = 19.58 × 8.53
  4. Step 4: Simplify right side
    13.03x = 166.93
  5. Step 5: Solve for x
    x = 166.93/13.03
  6. Step 6: Final answer
    x = 12.81

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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.