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Finding the Fourth Proportional to 12,199.55, 18,309.74 and 8,698.11

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Solution

The fourth proportional to 12,199.55, 18,309.74 and 8,698.11 is: 13,054.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.55 : 18,309.74 = 8,698.11 : x
  2. Step 2: Convert to fraction form
    12,199.55/18,309.74 = 8,698.11/x
  3. Step 3: Cross multiply
    12,199.55x = 18,309.74 × 8,698.11
  4. Step 4: Simplify right side
    12,199.55x = 159,260,089.10
  5. Step 5: Solve for x
    x = 159,260,089.10/12,199.55
  6. Step 6: Final answer
    x = 13,054.59

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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.