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Finding the Fourth Proportional to 12.57, 18.63 and 12.46

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Solution

The fourth proportional to 12.57, 18.63 and 12.46 is: 18.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.57 : 18.63 = 12.46 : x
  2. Step 2: Convert to fraction form
    12.57/18.63 = 12.46/x
  3. Step 3: Cross multiply
    12.57x = 18.63 × 12.46
  4. Step 4: Simplify right side
    12.57x = 232.13
  5. Step 5: Solve for x
    x = 232.13/12.57
  6. Step 6: Final answer
    x = 18.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.