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Finding the Fourth Proportional to 19,615, 29,422.50 and 5,764

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Solution

The fourth proportional to 19,615, 29,422.50 and 5,764 is: 8,646

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,615 : 29,422.50 = 5,764 : x
  2. Step 2: Convert to fraction form
    19,615/29,422.50 = 5,764/x
  3. Step 3: Cross multiply
    19,615x = 29,422.50 × 5,764
  4. Step 4: Simplify right side
    19,615x = 169,591,290
  5. Step 5: Solve for x
    x = 169,591,290/19,615
  6. Step 6: Final answer
    x = 8,646

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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.