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Finding the Fourth Proportional to 13,219.68, 19,846.80 and 7,068

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Solution

The fourth proportional to 13,219.68, 19,846.80 and 7,068 is: 10,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.68 : 19,846.80 = 7,068 : x
  2. Step 2: Convert to fraction form
    13,219.68/19,846.80 = 7,068/x
  3. Step 3: Cross multiply
    13,219.68x = 19,846.80 × 7,068
  4. Step 4: Simplify right side
    13,219.68x = 140,277,182.40
  5. Step 5: Solve for x
    x = 140,277,182.40/13,219.68
  6. Step 6: Final answer
    x = 10,611.24

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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.