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Finding the Fourth Proportional to 7,811.64, 11,706.84 and 4,302.54

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Solution

The fourth proportional to 7,811.64, 11,706.84 and 4,302.54 is: 6,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.64 : 11,706.84 = 4,302.54 : x
  2. Step 2: Convert to fraction form
    7,811.64/11,706.84 = 4,302.54/x
  3. Step 3: Cross multiply
    7,811.64x = 11,706.84 × 4,302.54
  4. Step 4: Simplify right side
    7,811.64x = 50,369,147.37
  5. Step 5: Solve for x
    x = 50,369,147.37/7,811.64
  6. Step 6: Final answer
    x = 6,447.96

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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.