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Finding the Fourth Proportional to 7,758.65, 10,706.92 and 4,221.84

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Solution

The fourth proportional to 7,758.65, 10,706.92 and 4,221.84 is: 5,826.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.65 : 10,706.92 = 4,221.84 : x
  2. Step 2: Convert to fraction form
    7,758.65/10,706.92 = 4,221.84/x
  3. Step 3: Cross multiply
    7,758.65x = 10,706.92 × 4,221.84
  4. Step 4: Simplify right side
    7,758.65x = 45,202,903.13
  5. Step 5: Solve for x
    x = 45,202,903.13/7,758.65
  6. Step 6: Final answer
    x = 5,826.13

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1.5x scale

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.