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Finding the Fourth Proportional to 12,030.02, 18,039.86 and 4,133.32

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Solution

The fourth proportional to 12,030.02, 18,039.86 and 4,133.32 is: 6,198.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030.02 : 18,039.86 = 4,133.32 : x
  2. Step 2: Convert to fraction form
    12,030.02/18,039.86 = 4,133.32/x
  3. Step 3: Cross multiply
    12,030.02x = 18,039.86 × 4,133.32
  4. Step 4: Simplify right side
    12,030.02x = 74,564,514.14
  5. Step 5: Solve for x
    x = 74,564,514.14/12,030.02
  6. Step 6: Final answer
    x = 6,198.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.