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Finding the Fourth Proportional to 2,717.06, 4,074.78 and 985.28

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Solution

The fourth proportional to 2,717.06, 4,074.78 and 985.28 is: 1,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.06 : 4,074.78 = 985.28 : x
  2. Step 2: Convert to fraction form
    2,717.06/4,074.78 = 985.28/x
  3. Step 3: Cross multiply
    2,717.06x = 4,074.78 × 985.28
  4. Step 4: Simplify right side
    2,717.06x = 4,014,799.24
  5. Step 5: Solve for x
    x = 4,014,799.24/2,717.06
  6. Step 6: Final answer
    x = 1,477.63

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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.