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Finding the Fourth Proportional to 2,930.54, 4,041.92 and 1,868.63

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Solution

The fourth proportional to 2,930.54, 4,041.92 and 1,868.63 is: 2,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.54 : 4,041.92 = 1,868.63 : x
  2. Step 2: Convert to fraction form
    2,930.54/4,041.92 = 1,868.63/x
  3. Step 3: Cross multiply
    2,930.54x = 4,041.92 × 1,868.63
  4. Step 4: Simplify right side
    2,930.54x = 7,552,837.43
  5. Step 5: Solve for x
    x = 7,552,837.43/2,930.54
  6. Step 6: Final answer
    x = 2,577.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.