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Finding the Fourth Proportional to 10.47, 14.42 and 10.21

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Solution

The fourth proportional to 10.47, 14.42 and 10.21 is: 14.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.47 : 14.42 = 10.21 : x
  2. Step 2: Convert to fraction form
    10.47/14.42 = 10.21/x
  3. Step 3: Cross multiply
    10.47x = 14.42 × 10.21
  4. Step 4: Simplify right side
    10.47x = 147.23
  5. Step 5: Solve for x
    x = 147.23/10.47
  6. Step 6: Final answer
    x = 14.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.