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Finding the Fourth Proportional to 2,180.67, 3,271.01 and 641.67

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Solution

The fourth proportional to 2,180.67, 3,271.01 and 641.67 is: 962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.67 : 3,271.01 = 641.67 : x
  2. Step 2: Convert to fraction form
    2,180.67/3,271.01 = 641.67/x
  3. Step 3: Cross multiply
    2,180.67x = 3,271.01 × 641.67
  4. Step 4: Simplify right side
    2,180.67x = 2,098,915.07
  5. Step 5: Solve for x
    x = 2,098,915.07/2,180.67
  6. Step 6: Final answer
    x = 962.51

Related Problems

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Half scale
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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.