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Finding the Fourth Proportional to 8,214.77, 12,328.11 and 3,285.79

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Solution

The fourth proportional to 8,214.77, 12,328.11 and 3,285.79 is: 4,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.77 : 12,328.11 = 3,285.79 : x
  2. Step 2: Convert to fraction form
    8,214.77/12,328.11 = 3,285.79/x
  3. Step 3: Cross multiply
    8,214.77x = 12,328.11 × 3,285.79
  4. Step 4: Simplify right side
    8,214.77x = 40,507,549.74
  5. Step 5: Solve for x
    x = 40,507,549.74/8,214.77
  6. Step 6: Final answer
    x = 4,931.06

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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.