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Finding the Fourth Proportional to 7,840.22, 11,763.03 and 3,941.42

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Solution

The fourth proportional to 7,840.22, 11,763.03 and 3,941.42 is: 5,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.22 : 11,763.03 = 3,941.42 : x
  2. Step 2: Convert to fraction form
    7,840.22/11,763.03 = 3,941.42/x
  3. Step 3: Cross multiply
    7,840.22x = 11,763.03 × 3,941.42
  4. Step 4: Simplify right side
    7,840.22x = 46,363,041.70
  5. Step 5: Solve for x
    x = 46,363,041.70/7,840.22
  6. Step 6: Final answer
    x = 5,913.49

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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.