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Finding the Fourth Proportional to 12,188.29, 16,819.95 and 6,599.29

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Solution

The fourth proportional to 12,188.29, 16,819.95 and 6,599.29 is: 9,107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.29 : 16,819.95 = 6,599.29 : x
  2. Step 2: Convert to fraction form
    12,188.29/16,819.95 = 6,599.29/x
  3. Step 3: Cross multiply
    12,188.29x = 16,819.95 × 6,599.29
  4. Step 4: Simplify right side
    12,188.29x = 110,999,727.84
  5. Step 5: Solve for x
    x = 110,999,727.84/12,188.29
  6. Step 6: Final answer
    x = 9,107.08

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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.