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Finding the Fourth Proportional to 7,106.57, 9,806.63 and 3,919.74

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Solution

The fourth proportional to 7,106.57, 9,806.63 and 3,919.74 is: 5,409.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.57 : 9,806.63 = 3,919.74 : x
  2. Step 2: Convert to fraction form
    7,106.57/9,806.63 = 3,919.74/x
  3. Step 3: Cross multiply
    7,106.57x = 9,806.63 × 3,919.74
  4. Step 4: Simplify right side
    7,106.57x = 38,439,439.88
  5. Step 5: Solve for x
    x = 38,439,439.88/7,106.57
  6. Step 6: Final answer
    x = 5,409.00

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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.