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Finding the Fourth Proportional to 7,309.35, 10,965.64 and 3,411.63

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Solution

The fourth proportional to 7,309.35, 10,965.64 and 3,411.63 is: 5,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.35 : 10,965.64 = 3,411.63 : x
  2. Step 2: Convert to fraction form
    7,309.35/10,965.64 = 3,411.63/x
  3. Step 3: Cross multiply
    7,309.35x = 10,965.64 × 3,411.63
  4. Step 4: Simplify right side
    7,309.35x = 37,410,706.39
  5. Step 5: Solve for x
    x = 37,410,706.39/7,309.35
  6. Step 6: Final answer
    x = 5,118.20

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1.5x scale

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.