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Finding the Fourth Proportional to 15.71, 21.58 and 15.14

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Solution

The fourth proportional to 15.71, 21.58 and 15.14 is: 20.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.71 : 21.58 = 15.14 : x
  2. Step 2: Convert to fraction form
    15.71/21.58 = 15.14/x
  3. Step 3: Cross multiply
    15.71x = 21.58 × 15.14
  4. Step 4: Simplify right side
    15.71x = 326.65
  5. Step 5: Solve for x
    x = 326.65/15.71
  6. Step 6: Final answer
    x = 20.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.