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Finding the Fourth Proportional to 12,314.50, 16,994.10 and 6,725.50

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Solution

The fourth proportional to 12,314.50, 16,994.10 and 6,725.50 is: 9,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.50 : 16,994.10 = 6,725.50 : x
  2. Step 2: Convert to fraction form
    12,314.50/16,994.10 = 6,725.50/x
  3. Step 3: Cross multiply
    12,314.50x = 16,994.10 × 6,725.50
  4. Step 4: Simplify right side
    12,314.50x = 114,293,819.55
  5. Step 5: Solve for x
    x = 114,293,819.55/12,314.50
  6. Step 6: Final answer
    x = 9,281.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.