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Finding the Fourth Proportional to 12,808.34, 17,678.88 and 8,344.34

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Solution

The fourth proportional to 12,808.34, 17,678.88 and 8,344.34 is: 11,517.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.34 : 17,678.88 = 8,344.34 : x
  2. Step 2: Convert to fraction form
    12,808.34/17,678.88 = 8,344.34/x
  3. Step 3: Cross multiply
    12,808.34x = 17,678.88 × 8,344.34
  4. Step 4: Simplify right side
    12,808.34x = 147,518,585.54
  5. Step 5: Solve for x
    x = 147,518,585.54/12,808.34
  6. Step 6: Final answer
    x = 11,517.39

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Half scale
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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.