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Finding the Fourth Proportional to 7,790.68, 11,670.90 and 6,918.04

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Solution

The fourth proportional to 7,790.68, 11,670.90 and 6,918.04 is: 10,363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.68 : 11,670.90 = 6,918.04 : x
  2. Step 2: Convert to fraction form
    7,790.68/11,670.90 = 6,918.04/x
  3. Step 3: Cross multiply
    7,790.68x = 11,670.90 × 6,918.04
  4. Step 4: Simplify right side
    7,790.68x = 80,739,753.04
  5. Step 5: Solve for x
    x = 80,739,753.04/7,790.68
  6. Step 6: Final answer
    x = 10,363.63

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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.