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Finding the Fourth Proportional to 12,340.65, 18,512.94 and 4,020.02

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Solution

The fourth proportional to 12,340.65, 18,512.94 and 4,020.02 is: 6,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.65 : 18,512.94 = 4,020.02 : x
  2. Step 2: Convert to fraction form
    12,340.65/18,512.94 = 4,020.02/x
  3. Step 3: Cross multiply
    12,340.65x = 18,512.94 × 4,020.02
  4. Step 4: Simplify right side
    12,340.65x = 74,422,450.42
  5. Step 5: Solve for x
    x = 74,422,450.42/12,340.65
  6. Step 6: Final answer
    x = 6,030.68

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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.