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Finding the Fourth Proportional to 5.69, 7.85 and 3.10

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Solution

The fourth proportional to 5.69, 7.85 and 3.10 is: 4.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.69 : 7.85 = 3.10 : x
  2. Step 2: Convert to fraction form
    5.69/7.85 = 3.10/x
  3. Step 3: Cross multiply
    5.69x = 7.85 × 3.10
  4. Step 4: Simplify right side
    5.69x = 24.34
  5. Step 5: Solve for x
    x = 24.34/5.69
  6. Step 6: Final answer
    x = 4.28

Related Problems

Find fourth proportional to 2.85, 3.93 and 1.55
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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.