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Finding the Fourth Proportional to 21,155.91, 31,735.46 and 7,115.99

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Solution

The fourth proportional to 21,155.91, 31,735.46 and 7,115.99 is: 10,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,155.91 : 31,735.46 = 7,115.99 : x
  2. Step 2: Convert to fraction form
    21,155.91/31,735.46 = 7,115.99/x
  3. Step 3: Cross multiply
    21,155.91x = 31,735.46 × 7,115.99
  4. Step 4: Simplify right side
    21,155.91x = 225,829,021.75
  5. Step 5: Solve for x
    x = 225,829,021.75/21,155.91
  6. Step 6: Final answer
    x = 10,674.51

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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.