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Finding the Fourth Proportional to 14,471.20, 21,706.40 and 4,611.20

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Solution

The fourth proportional to 14,471.20, 21,706.40 and 4,611.20 is: 6,916.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.20 : 21,706.40 = 4,611.20 : x
  2. Step 2: Convert to fraction form
    14,471.20/21,706.40 = 4,611.20/x
  3. Step 3: Cross multiply
    14,471.20x = 21,706.40 × 4,611.20
  4. Step 4: Simplify right side
    14,471.20x = 100,092,551.68
  5. Step 5: Solve for x
    x = 100,092,551.68/14,471.20
  6. Step 6: Final answer
    x = 6,916.67

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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.