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Finding the Fourth Proportional to 7,085.57, 9,778.08 and 3,942.37

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Solution

The fourth proportional to 7,085.57, 9,778.08 and 3,942.37 is: 5,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.57 : 9,778.08 = 3,942.37 : x
  2. Step 2: Convert to fraction form
    7,085.57/9,778.08 = 3,942.37/x
  3. Step 3: Cross multiply
    7,085.57x = 9,778.08 × 3,942.37
  4. Step 4: Simplify right side
    7,085.57x = 38,548,809.25
  5. Step 5: Solve for x
    x = 38,548,809.25/7,085.57
  6. Step 6: Final answer
    x = 5,440.47

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1.5x scale

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.