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Finding the Fourth Proportional to 1,930.42, 2,891.71 and 1,541.08

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Solution

The fourth proportional to 1,930.42, 2,891.71 and 1,541.08 is: 2,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.42 : 2,891.71 = 1,541.08 : x
  2. Step 2: Convert to fraction form
    1,930.42/2,891.71 = 1,541.08/x
  3. Step 3: Cross multiply
    1,930.42x = 2,891.71 × 1,541.08
  4. Step 4: Simplify right side
    1,930.42x = 4,456,356.45
  5. Step 5: Solve for x
    x = 4,456,356.45/1,930.42
  6. Step 6: Final answer
    x = 2,308.49

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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.