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Finding the Fourth Proportional to 12,189, 18,284.40 and 5,263.50

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Solution

The fourth proportional to 12,189, 18,284.40 and 5,263.50 is: 7,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189 : 18,284.40 = 5,263.50 : x
  2. Step 2: Convert to fraction form
    12,189/18,284.40 = 5,263.50/x
  3. Step 3: Cross multiply
    12,189x = 18,284.40 × 5,263.50
  4. Step 4: Simplify right side
    12,189x = 96,239,939.40
  5. Step 5: Solve for x
    x = 96,239,939.40/12,189
  6. Step 6: Final answer
    x = 7,895.64

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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.