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Finding the Fourth Proportional to 12,471.42, 18,710.19 and 3,706.35

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Solution

The fourth proportional to 12,471.42, 18,710.19 and 3,706.35 is: 5,560.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.42 : 18,710.19 = 3,706.35 : x
  2. Step 2: Convert to fraction form
    12,471.42/18,710.19 = 3,706.35/x
  3. Step 3: Cross multiply
    12,471.42x = 18,710.19 × 3,706.35
  4. Step 4: Simplify right side
    12,471.42x = 69,346,512.71
  5. Step 5: Solve for x
    x = 69,346,512.71/12,471.42
  6. Step 6: Final answer
    x = 5,560.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.