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Finding the Fourth Proportional to 22,509.84, 33,755.04 and 7,720.20

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Solution

The fourth proportional to 22,509.84, 33,755.04 and 7,720.20 is: 11,576.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.84 : 33,755.04 = 7,720.20 : x
  2. Step 2: Convert to fraction form
    22,509.84/33,755.04 = 7,720.20/x
  3. Step 3: Cross multiply
    22,509.84x = 33,755.04 × 7,720.20
  4. Step 4: Simplify right side
    22,509.84x = 260,595,659.81
  5. Step 5: Solve for x
    x = 260,595,659.81/22,509.84
  6. Step 6: Final answer
    x = 11,576.97

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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.