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Finding the Fourth Proportional to 7,762.72, 11,644.08 and 1,919.44

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Solution

The fourth proportional to 7,762.72, 11,644.08 and 1,919.44 is: 2,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.72 : 11,644.08 = 1,919.44 : x
  2. Step 2: Convert to fraction form
    7,762.72/11,644.08 = 1,919.44/x
  3. Step 3: Cross multiply
    7,762.72x = 11,644.08 × 1,919.44
  4. Step 4: Simplify right side
    7,762.72x = 22,350,112.92
  5. Step 5: Solve for x
    x = 22,350,112.92/7,762.72
  6. Step 6: Final answer
    x = 2,879.16

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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.