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Finding the Fourth Proportional to 7,762.43, 11,621.19 and 6,961.22

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Solution

The fourth proportional to 7,762.43, 11,621.19 and 6,961.22 is: 10,421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.43 : 11,621.19 = 6,961.22 : x
  2. Step 2: Convert to fraction form
    7,762.43/11,621.19 = 6,961.22/x
  3. Step 3: Cross multiply
    7,762.43x = 11,621.19 × 6,961.22
  4. Step 4: Simplify right side
    7,762.43x = 80,897,602.15
  5. Step 5: Solve for x
    x = 80,897,602.15/7,762.43
  6. Step 6: Final answer
    x = 10,421.69

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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.