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Finding the Fourth Proportional to 7,762.85, 11,644.36 and 1,919.46

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Solution

The fourth proportional to 7,762.85, 11,644.36 and 1,919.46 is: 2,879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.85 : 11,644.36 = 1,919.46 : x
  2. Step 2: Convert to fraction form
    7,762.85/11,644.36 = 1,919.46/x
  3. Step 3: Cross multiply
    7,762.85x = 11,644.36 × 1,919.46
  4. Step 4: Simplify right side
    7,762.85x = 22,350,922.11
  5. Step 5: Solve for x
    x = 22,350,922.11/7,762.85
  6. Step 6: Final answer
    x = 2,879.21

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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.