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Finding the Fourth Proportional to 2,180.89, 3,271.36 and 620.89

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Solution

The fourth proportional to 2,180.89, 3,271.36 and 620.89 is: 931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.89 : 3,271.36 = 620.89 : x
  2. Step 2: Convert to fraction form
    2,180.89/3,271.36 = 620.89/x
  3. Step 3: Cross multiply
    2,180.89x = 3,271.36 × 620.89
  4. Step 4: Simplify right side
    2,180.89x = 2,031,154.71
  5. Step 5: Solve for x
    x = 2,031,154.71/2,180.89
  6. Step 6: Final answer
    x = 931.34

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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.