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Finding the Fourth Proportional to 6,404.99, 9,607.41 and 3,790.46

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Solution

The fourth proportional to 6,404.99, 9,607.41 and 3,790.46 is: 5,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.99 : 9,607.41 = 3,790.46 : x
  2. Step 2: Convert to fraction form
    6,404.99/9,607.41 = 3,790.46/x
  3. Step 3: Cross multiply
    6,404.99x = 9,607.41 × 3,790.46
  4. Step 4: Simplify right side
    6,404.99x = 36,416,503.31
  5. Step 5: Solve for x
    x = 36,416,503.31/6,404.99
  6. Step 6: Final answer
    x = 5,685.65

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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.