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Finding the Fourth Proportional to 2,739.80, 4,109.92 and 985.16

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Solution

The fourth proportional to 2,739.80, 4,109.92 and 985.16 is: 1,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.80 : 4,109.92 = 985.16 : x
  2. Step 2: Convert to fraction form
    2,739.80/4,109.92 = 985.16/x
  3. Step 3: Cross multiply
    2,739.80x = 4,109.92 × 985.16
  4. Step 4: Simplify right side
    2,739.80x = 4,048,928.79
  5. Step 5: Solve for x
    x = 4,048,928.79/2,739.80
  6. Step 6: Final answer
    x = 1,477.82

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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.