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Finding the Fourth Proportional to 21,193.99, 31,784.37 and 7,339.75

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Solution

The fourth proportional to 21,193.99, 31,784.37 and 7,339.75 is: 11,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193.99 : 31,784.37 = 7,339.75 : x
  2. Step 2: Convert to fraction form
    21,193.99/31,784.37 = 7,339.75/x
  3. Step 3: Cross multiply
    21,193.99x = 31,784.37 × 7,339.75
  4. Step 4: Simplify right side
    21,193.99x = 233,289,329.71
  5. Step 5: Solve for x
    x = 233,289,329.71/21,193.99
  6. Step 6: Final answer
    x = 11,007.33

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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.