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Finding the Fourth Proportional to 8,254.87, 12,384.64 and 3,254.16

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Solution

The fourth proportional to 8,254.87, 12,384.64 and 3,254.16 is: 4,882.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.87 : 12,384.64 = 3,254.16 : x
  2. Step 2: Convert to fraction form
    8,254.87/12,384.64 = 3,254.16/x
  3. Step 3: Cross multiply
    8,254.87x = 12,384.64 × 3,254.16
  4. Step 4: Simplify right side
    8,254.87x = 40,301,580.95
  5. Step 5: Solve for x
    x = 40,301,580.95/8,254.87
  6. Step 6: Final answer
    x = 4,882.16

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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.