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Finding the Fourth Proportional to 6,984.87, 9,639.31 and 3,798.38

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Solution

The fourth proportional to 6,984.87, 9,639.31 and 3,798.38 is: 5,241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.87 : 9,639.31 = 3,798.38 : x
  2. Step 2: Convert to fraction form
    6,984.87/9,639.31 = 3,798.38/x
  3. Step 3: Cross multiply
    6,984.87x = 9,639.31 × 3,798.38
  4. Step 4: Simplify right side
    6,984.87x = 36,613,762.32
  5. Step 5: Solve for x
    x = 36,613,762.32/6,984.87
  6. Step 6: Final answer
    x = 5,241.87

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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.