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Finding the Fourth Proportional to 6,411.42, 9,609.84 and 2,711.34

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Solution

The fourth proportional to 6,411.42, 9,609.84 and 2,711.34 is: 4,063.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.42 : 9,609.84 = 2,711.34 : x
  2. Step 2: Convert to fraction form
    6,411.42/9,609.84 = 2,711.34/x
  3. Step 3: Cross multiply
    6,411.42x = 9,609.84 × 2,711.34
  4. Step 4: Simplify right side
    6,411.42x = 26,055,574.39
  5. Step 5: Solve for x
    x = 26,055,574.39/6,411.42
  6. Step 6: Final answer
    x = 4,063.93

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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.