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Finding the Fourth Proportional to 8,534.46, 12,782.03 and 8,238.95

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Solution

The fourth proportional to 8,534.46, 12,782.03 and 8,238.95 is: 12,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.46 : 12,782.03 = 8,238.95 : x
  2. Step 2: Convert to fraction form
    8,534.46/12,782.03 = 8,238.95/x
  3. Step 3: Cross multiply
    8,534.46x = 12,782.03 × 8,238.95
  4. Step 4: Simplify right side
    8,534.46x = 105,310,525.99
  5. Step 5: Solve for x
    x = 105,310,525.99/8,534.46
  6. Step 6: Final answer
    x = 12,339.44

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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.