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Finding the Fourth Proportional to 8,509.01, 12,763.49 and 3,582.09

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Solution

The fourth proportional to 8,509.01, 12,763.49 and 3,582.09 is: 5,373.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.01 : 12,763.49 = 3,582.09 : x
  2. Step 2: Convert to fraction form
    8,509.01/12,763.49 = 3,582.09/x
  3. Step 3: Cross multiply
    8,509.01x = 12,763.49 × 3,582.09
  4. Step 4: Simplify right side
    8,509.01x = 45,719,951.98
  5. Step 5: Solve for x
    x = 45,719,951.98/8,509.01
  6. Step 6: Final answer
    x = 5,373.13

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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.