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Finding the Fourth Proportional to 3,980.76, 5,971.14 and 1,788.30

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Solution

The fourth proportional to 3,980.76, 5,971.14 and 1,788.30 is: 2,682.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.76 : 5,971.14 = 1,788.30 : x
  2. Step 2: Convert to fraction form
    3,980.76/5,971.14 = 1,788.30/x
  3. Step 3: Cross multiply
    3,980.76x = 5,971.14 × 1,788.30
  4. Step 4: Simplify right side
    3,980.76x = 10,678,189.66
  5. Step 5: Solve for x
    x = 10,678,189.66/3,980.76
  6. Step 6: Final answer
    x = 2,682.45

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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.