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Finding the Fourth Proportional to 7.15, 9.87 and 5.43

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Solution

The fourth proportional to 7.15, 9.87 and 5.43 is: 7.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.15 : 9.87 = 5.43 : x
  2. Step 2: Convert to fraction form
    7.15/9.87 = 5.43/x
  3. Step 3: Cross multiply
    7.15x = 9.87 × 5.43
  4. Step 4: Simplify right side
    7.15x = 53.59
  5. Step 5: Solve for x
    x = 53.59/7.15
  6. Step 6: Final answer
    x = 7.50

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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.