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Finding the Fourth Proportional to 18,684.40, 28,009.74 and 6,829.90

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Solution

The fourth proportional to 18,684.40, 28,009.74 and 6,829.90 is: 10,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,684.40 : 28,009.74 = 6,829.90 : x
  2. Step 2: Convert to fraction form
    18,684.40/28,009.74 = 6,829.90/x
  3. Step 3: Cross multiply
    18,684.40x = 28,009.74 × 6,829.90
  4. Step 4: Simplify right side
    18,684.40x = 191,303,723.23
  5. Step 5: Solve for x
    x = 191,303,723.23/18,684.40
  6. Step 6: Final answer
    x = 10,238.69

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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.