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Finding the Fourth Proportional to 9,579.20, 14,385.20 and 5,205.20

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Solution

The fourth proportional to 9,579.20, 14,385.20 and 5,205.20 is: 7,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.20 : 14,385.20 = 5,205.20 : x
  2. Step 2: Convert to fraction form
    9,579.20/14,385.20 = 5,205.20/x
  3. Step 3: Cross multiply
    9,579.20x = 14,385.20 × 5,205.20
  4. Step 4: Simplify right side
    9,579.20x = 74,877,843.04
  5. Step 5: Solve for x
    x = 74,877,843.04/9,579.20
  6. Step 6: Final answer
    x = 7,816.71

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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.