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Finding the Fourth Proportional to 8,313.84, 12,470.62 and 4,809.12

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Solution

The fourth proportional to 8,313.84, 12,470.62 and 4,809.12 is: 7,213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.84 : 12,470.62 = 4,809.12 : x
  2. Step 2: Convert to fraction form
    8,313.84/12,470.62 = 4,809.12/x
  3. Step 3: Cross multiply
    8,313.84x = 12,470.62 × 4,809.12
  4. Step 4: Simplify right side
    8,313.84x = 59,972,708.05
  5. Step 5: Solve for x
    x = 59,972,708.05/8,313.84
  6. Step 6: Final answer
    x = 7,213.60

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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.