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Finding the Fourth Proportional to 21,193.24, 31,783.24 and 7,339

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Solution

The fourth proportional to 21,193.24, 31,783.24 and 7,339 is: 11,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193.24 : 31,783.24 = 7,339 : x
  2. Step 2: Convert to fraction form
    21,193.24/31,783.24 = 7,339/x
  3. Step 3: Cross multiply
    21,193.24x = 31,783.24 × 7,339
  4. Step 4: Simplify right side
    21,193.24x = 233,257,198.36
  5. Step 5: Solve for x
    x = 233,257,198.36/21,193.24
  6. Step 6: Final answer
    x = 11,006.21

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1.5x scale

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.