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Finding the Fourth Proportional to 22,287.30, 33,430.94 and 9,145.86

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Solution

The fourth proportional to 22,287.30, 33,430.94 and 9,145.86 is: 13,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,287.30 : 33,430.94 = 9,145.86 : x
  2. Step 2: Convert to fraction form
    22,287.30/33,430.94 = 9,145.86/x
  3. Step 3: Cross multiply
    22,287.30x = 33,430.94 × 9,145.86
  4. Step 4: Simplify right side
    22,287.30x = 305,754,696.91
  5. Step 5: Solve for x
    x = 305,754,696.91/22,287.30
  6. Step 6: Final answer
    x = 13,718.79

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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.