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Finding the Fourth Proportional to 7,104, 9,803.52 and 3,960.39

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Solution

The fourth proportional to 7,104, 9,803.52 and 3,960.39 is: 5,465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104 : 9,803.52 = 3,960.39 : x
  2. Step 2: Convert to fraction form
    7,104/9,803.52 = 3,960.39/x
  3. Step 3: Cross multiply
    7,104x = 9,803.52 × 3,960.39
  4. Step 4: Simplify right side
    7,104x = 38,825,762.57
  5. Step 5: Solve for x
    x = 38,825,762.57/7,104
  6. Step 6: Final answer
    x = 5,465.34

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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.