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Finding the Fourth Proportional to 7.52, 10.38 and 5.90

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Solution

The fourth proportional to 7.52, 10.38 and 5.90 is: 8.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.52 : 10.38 = 5.90 : x
  2. Step 2: Convert to fraction form
    7.52/10.38 = 5.90/x
  3. Step 3: Cross multiply
    7.52x = 10.38 × 5.90
  4. Step 4: Simplify right side
    7.52x = 61.24
  5. Step 5: Solve for x
    x = 61.24/7.52
  6. Step 6: Final answer
    x = 8.14

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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.