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Finding the Fourth Proportional to 8,736.84, 13,006.44 and 8,684.96

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Solution

The fourth proportional to 8,736.84, 13,006.44 and 8,684.96 is: 12,929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736.84 : 13,006.44 = 8,684.96 : x
  2. Step 2: Convert to fraction form
    8,736.84/13,006.44 = 8,684.96/x
  3. Step 3: Cross multiply
    8,736.84x = 13,006.44 × 8,684.96
  4. Step 4: Simplify right side
    8,736.84x = 112,960,411.14
  5. Step 5: Solve for x
    x = 112,960,411.14/8,736.84
  6. Step 6: Final answer
    x = 12,929.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.