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Finding the Fourth Proportional to 12,199.93, 18,303.09 and 5,180.20

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Solution

The fourth proportional to 12,199.93, 18,303.09 and 5,180.20 is: 7,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.93 : 18,303.09 = 5,180.20 : x
  2. Step 2: Convert to fraction form
    12,199.93/18,303.09 = 5,180.20/x
  3. Step 3: Cross multiply
    12,199.93x = 18,303.09 × 5,180.20
  4. Step 4: Simplify right side
    12,199.93x = 94,813,666.82
  5. Step 5: Solve for x
    x = 94,813,666.82/12,199.93
  6. Step 6: Final answer
    x = 7,771.66

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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.