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Finding the Fourth Proportional to 7,000.85, 9,660.90 and 3,814.09

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Solution

The fourth proportional to 7,000.85, 9,660.90 and 3,814.09 is: 5,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.85 : 9,660.90 = 3,814.09 : x
  2. Step 2: Convert to fraction form
    7,000.85/9,660.90 = 3,814.09/x
  3. Step 3: Cross multiply
    7,000.85x = 9,660.90 × 3,814.09
  4. Step 4: Simplify right side
    7,000.85x = 36,847,527.22
  5. Step 5: Solve for x
    x = 36,847,527.22/7,000.85
  6. Step 6: Final answer
    x = 5,263.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.