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Finding the Fourth Proportional to 19,147, 28,720.50 and 5,296

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Solution

The fourth proportional to 19,147, 28,720.50 and 5,296 is: 7,944

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,147 : 28,720.50 = 5,296 : x
  2. Step 2: Convert to fraction form
    19,147/28,720.50 = 5,296/x
  3. Step 3: Cross multiply
    19,147x = 28,720.50 × 5,296
  4. Step 4: Simplify right side
    19,147x = 152,103,768
  5. Step 5: Solve for x
    x = 152,103,768/19,147
  6. Step 6: Final answer
    x = 7,944

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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.