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Finding the Fourth Proportional to 6,977.01, 9,628.23 and 3,790.28

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Solution

The fourth proportional to 6,977.01, 9,628.23 and 3,790.28 is: 5,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.01 : 9,628.23 = 3,790.28 : x
  2. Step 2: Convert to fraction form
    6,977.01/9,628.23 = 3,790.28/x
  3. Step 3: Cross multiply
    6,977.01x = 9,628.23 × 3,790.28
  4. Step 4: Simplify right side
    6,977.01x = 36,493,700.59
  5. Step 5: Solve for x
    x = 36,493,700.59/6,977.01
  6. Step 6: Final answer
    x = 5,230.56

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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.