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Finding the Fourth Proportional to 19.48, 29.12 and 12.66

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Solution

The fourth proportional to 19.48, 29.12 and 12.66 is: 18.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.48 : 29.12 = 12.66 : x
  2. Step 2: Convert to fraction form
    19.48/29.12 = 12.66/x
  3. Step 3: Cross multiply
    19.48x = 29.12 × 12.66
  4. Step 4: Simplify right side
    19.48x = 368.66
  5. Step 5: Solve for x
    x = 368.66/19.48
  6. Step 6: Final answer
    x = 18.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.