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Finding the Fourth Proportional to 19,367, 29,050.50 and 4,775

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Solution

The fourth proportional to 19,367, 29,050.50 and 4,775 is: 7,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,367 : 29,050.50 = 4,775 : x
  2. Step 2: Convert to fraction form
    19,367/29,050.50 = 4,775/x
  3. Step 3: Cross multiply
    19,367x = 29,050.50 × 4,775
  4. Step 4: Simplify right side
    19,367x = 138,716,137.50
  5. Step 5: Solve for x
    x = 138,716,137.50/19,367
  6. Step 6: Final answer
    x = 7,162.50

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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.