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Finding the Fourth Proportional to 19,380, 29,074.32 and 7,068

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Solution

The fourth proportional to 19,380, 29,074.32 and 7,068 is: 10,603.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,380 : 29,074.32 = 7,068 : x
  2. Step 2: Convert to fraction form
    19,380/29,074.32 = 7,068/x
  3. Step 3: Cross multiply
    19,380x = 29,074.32 × 7,068
  4. Step 4: Simplify right side
    19,380x = 205,497,293.76
  5. Step 5: Solve for x
    x = 205,497,293.76/19,380
  6. Step 6: Final answer
    x = 10,603.58

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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.