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Finding the Fourth Proportional to 8,842.37, 13,263.95 and 8,416.78

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Solution

The fourth proportional to 8,842.37, 13,263.95 and 8,416.78 is: 12,625.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.37 : 13,263.95 = 8,416.78 : x
  2. Step 2: Convert to fraction form
    8,842.37/13,263.95 = 8,416.78/x
  3. Step 3: Cross multiply
    8,842.37x = 13,263.95 × 8,416.78
  4. Step 4: Simplify right side
    8,842.37x = 111,639,736.96
  5. Step 5: Solve for x
    x = 111,639,736.96/8,842.37
  6. Step 6: Final answer
    x = 12,625.55

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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.