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Finding the Fourth Proportional to 2,617, 3,927.30 and 1,078

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Solution

The fourth proportional to 2,617, 3,927.30 and 1,078 is: 1,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617 : 3,927.30 = 1,078 : x
  2. Step 2: Convert to fraction form
    2,617/3,927.30 = 1,078/x
  3. Step 3: Cross multiply
    2,617x = 3,927.30 × 1,078
  4. Step 4: Simplify right side
    2,617x = 4,233,629.40
  5. Step 5: Solve for x
    x = 4,233,629.40/2,617
  6. Step 6: Final answer
    x = 1,617.74

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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.