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Finding the Fourth Proportional to 8,213.04, 12,319.12 and 3,018.48

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Solution

The fourth proportional to 8,213.04, 12,319.12 and 3,018.48 is: 4,527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.04 : 12,319.12 = 3,018.48 : x
  2. Step 2: Convert to fraction form
    8,213.04/12,319.12 = 3,018.48/x
  3. Step 3: Cross multiply
    8,213.04x = 12,319.12 × 3,018.48
  4. Step 4: Simplify right side
    8,213.04x = 37,185,017.34
  5. Step 5: Solve for x
    x = 37,185,017.34/8,213.04
  6. Step 6: Final answer
    x = 4,527.56

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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.