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Finding the Fourth Proportional to 10.42, 15.63 and 2.82

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Solution

The fourth proportional to 10.42, 15.63 and 2.82 is: 4.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.42 : 15.63 = 2.82 : x
  2. Step 2: Convert to fraction form
    10.42/15.63 = 2.82/x
  3. Step 3: Cross multiply
    10.42x = 15.63 × 2.82
  4. Step 4: Simplify right side
    10.42x = 44.01
  5. Step 5: Solve for x
    x = 44.01/10.42
  6. Step 6: Final answer
    x = 4.22

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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.