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Finding the Fourth Proportional to 3,072.50, 4,608.81 and 764

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Solution

The fourth proportional to 3,072.50, 4,608.81 and 764 is: 1,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.50 : 4,608.81 = 764 : x
  2. Step 2: Convert to fraction form
    3,072.50/4,608.81 = 764/x
  3. Step 3: Cross multiply
    3,072.50x = 4,608.81 × 764
  4. Step 4: Simplify right side
    3,072.50x = 3,521,130.84
  5. Step 5: Solve for x
    x = 3,521,130.84/3,072.50
  6. Step 6: Final answer
    x = 1,146.01

Related Problems

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Double scale
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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.