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Finding the Fourth Proportional to 7,106, 9,806.08 and 4,121.64

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Solution

The fourth proportional to 7,106, 9,806.08 and 4,121.64 is: 5,687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106 : 9,806.08 = 4,121.64 : x
  2. Step 2: Convert to fraction form
    7,106/9,806.08 = 4,121.64/x
  3. Step 3: Cross multiply
    7,106x = 9,806.08 × 4,121.64
  4. Step 4: Simplify right side
    7,106x = 40,417,131.57
  5. Step 5: Solve for x
    x = 40,417,131.57/7,106
  6. Step 6: Final answer
    x = 5,687.75

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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.