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Finding the Fourth Proportional to 7,763.02, 11,644.63 and 1,919.68

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Solution

The fourth proportional to 7,763.02, 11,644.63 and 1,919.68 is: 2,879.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.02 : 11,644.63 = 1,919.68 : x
  2. Step 2: Convert to fraction form
    7,763.02/11,644.63 = 1,919.68/x
  3. Step 3: Cross multiply
    7,763.02x = 11,644.63 × 1,919.68
  4. Step 4: Simplify right side
    7,763.02x = 22,353,929.41
  5. Step 5: Solve for x
    x = 22,353,929.41/7,763.02
  6. Step 6: Final answer
    x = 2,879.54

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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.