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Finding the Fourth Proportional to 1,930.46, 2,891.81 and 889.01

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Solution

The fourth proportional to 1,930.46, 2,891.81 and 889.01 is: 1,331.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.46 : 2,891.81 = 889.01 : x
  2. Step 2: Convert to fraction form
    1,930.46/2,891.81 = 889.01/x
  3. Step 3: Cross multiply
    1,930.46x = 2,891.81 × 889.01
  4. Step 4: Simplify right side
    1,930.46x = 2,570,829.10
  5. Step 5: Solve for x
    x = 2,570,829.10/1,930.46
  6. Step 6: Final answer
    x = 1,331.72

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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.