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Finding the Fourth Proportional to 5.74, 7.90 and 5.47

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Solution

The fourth proportional to 5.74, 7.90 and 5.47 is: 7.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.74 : 7.90 = 5.47 : x
  2. Step 2: Convert to fraction form
    5.74/7.90 = 5.47/x
  3. Step 3: Cross multiply
    5.74x = 7.90 × 5.47
  4. Step 4: Simplify right side
    5.74x = 43.21
  5. Step 5: Solve for x
    x = 43.21/5.74
  6. Step 6: Final answer
    x = 7.53

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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.