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Finding the Fourth Proportional to 21.65, 32.45 and 13.06

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Solution

The fourth proportional to 21.65, 32.45 and 13.06 is: 19.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.65 : 32.45 = 13.06 : x
  2. Step 2: Convert to fraction form
    21.65/32.45 = 13.06/x
  3. Step 3: Cross multiply
    21.65x = 32.45 × 13.06
  4. Step 4: Simplify right side
    21.65x = 423.77
  5. Step 5: Solve for x
    x = 423.77/21.65
  6. Step 6: Final answer
    x = 19.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.