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Finding the Fourth Proportional to 14.47, 19.70 and 14.39

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Solution

The fourth proportional to 14.47, 19.70 and 14.39 is: 19.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.47 : 19.70 = 14.39 : x
  2. Step 2: Convert to fraction form
    14.47/19.70 = 14.39/x
  3. Step 3: Cross multiply
    14.47x = 19.70 × 14.39
  4. Step 4: Simplify right side
    14.47x = 283.48
  5. Step 5: Solve for x
    x = 283.48/14.47
  6. Step 6: Final answer
    x = 19.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.