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Finding the Fourth Proportional to 2,618.73, 3,918.21 and 1,560.63

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Solution

The fourth proportional to 2,618.73, 3,918.21 and 1,560.63 is: 2,335.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.73 : 3,918.21 = 1,560.63 : x
  2. Step 2: Convert to fraction form
    2,618.73/3,918.21 = 1,560.63/x
  3. Step 3: Cross multiply
    2,618.73x = 3,918.21 × 1,560.63
  4. Step 4: Simplify right side
    2,618.73x = 6,114,876.07
  5. Step 5: Solve for x
    x = 6,114,876.07/2,618.73
  6. Step 6: Final answer
    x = 2,335.05

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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.