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Finding the Fourth Proportional to 10.52, 15.78 and 2.91

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Solution

The fourth proportional to 10.52, 15.78 and 2.91 is: 4.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.52 : 15.78 = 2.91 : x
  2. Step 2: Convert to fraction form
    10.52/15.78 = 2.91/x
  3. Step 3: Cross multiply
    10.52x = 15.78 × 2.91
  4. Step 4: Simplify right side
    10.52x = 45.98
  5. Step 5: Solve for x
    x = 45.98/10.52
  6. Step 6: Final answer
    x = 4.37

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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.