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Finding the Fourth Proportional to 12,471.75, 18,710.71 and 3,706.63

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Solution

The fourth proportional to 12,471.75, 18,710.71 and 3,706.63 is: 5,560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.75 : 18,710.71 = 3,706.63 : x
  2. Step 2: Convert to fraction form
    12,471.75/18,710.71 = 3,706.63/x
  3. Step 3: Cross multiply
    12,471.75x = 18,710.71 × 3,706.63
  4. Step 4: Simplify right side
    12,471.75x = 69,353,622.96
  5. Step 5: Solve for x
    x = 69,353,622.96/12,471.75
  6. Step 6: Final answer
    x = 5,560.86

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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.