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Finding the Fourth Proportional to 8,486.76, 12,736.32 and 6,409.35

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Solution

The fourth proportional to 8,486.76, 12,736.32 and 6,409.35 is: 9,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.76 : 12,736.32 = 6,409.35 : x
  2. Step 2: Convert to fraction form
    8,486.76/12,736.32 = 6,409.35/x
  3. Step 3: Cross multiply
    8,486.76x = 12,736.32 × 6,409.35
  4. Step 4: Simplify right side
    8,486.76x = 81,631,532.59
  5. Step 5: Solve for x
    x = 81,631,532.59/8,486.76
  6. Step 6: Final answer
    x = 9,618.69

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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.