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Finding the Fourth Proportional to 2,615.36, 3,923.42 and 766.25

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Solution

The fourth proportional to 2,615.36, 3,923.42 and 766.25 is: 1,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.36 : 3,923.42 = 766.25 : x
  2. Step 2: Convert to fraction form
    2,615.36/3,923.42 = 766.25/x
  3. Step 3: Cross multiply
    2,615.36x = 3,923.42 × 766.25
  4. Step 4: Simplify right side
    2,615.36x = 3,006,297.13
  5. Step 5: Solve for x
    x = 3,006,297.13/2,615.36
  6. Step 6: Final answer
    x = 1,149.48

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Similar ratio
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1.5x scale

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.