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Finding the Fourth Proportional to 10.16, 13.98 and 7.85

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Solution

The fourth proportional to 10.16, 13.98 and 7.85 is: 10.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.16 : 13.98 = 7.85 : x
  2. Step 2: Convert to fraction form
    10.16/13.98 = 7.85/x
  3. Step 3: Cross multiply
    10.16x = 13.98 × 7.85
  4. Step 4: Simplify right side
    10.16x = 109.67
  5. Step 5: Solve for x
    x = 109.67/10.16
  6. Step 6: Final answer
    x = 10.80

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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.