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Finding the Fourth Proportional to 6,286.40, 9,374.04 and 6,230.16

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Solution

The fourth proportional to 6,286.40, 9,374.04 and 6,230.16 is: 9,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.40 : 9,374.04 = 6,230.16 : x
  2. Step 2: Convert to fraction form
    6,286.40/9,374.04 = 6,230.16/x
  3. Step 3: Cross multiply
    6,286.40x = 9,374.04 × 6,230.16
  4. Step 4: Simplify right side
    6,286.40x = 58,401,769.05
  5. Step 5: Solve for x
    x = 58,401,769.05/6,286.40
  6. Step 6: Final answer
    x = 9,290.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.