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Finding the Fourth Proportional to 6,969.30, 9,618.31 and 3,984.57

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Solution

The fourth proportional to 6,969.30, 9,618.31 and 3,984.57 is: 5,499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.30 : 9,618.31 = 3,984.57 : x
  2. Step 2: Convert to fraction form
    6,969.30/9,618.31 = 3,984.57/x
  3. Step 3: Cross multiply
    6,969.30x = 9,618.31 × 3,984.57
  4. Step 4: Simplify right side
    6,969.30x = 38,324,834.46
  5. Step 5: Solve for x
    x = 38,324,834.46/6,969.30
  6. Step 6: Final answer
    x = 5,499.09

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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.