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Finding the Fourth Proportional to 13,673.86, 20,507.68 and 8,928.51

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Solution

The fourth proportional to 13,673.86, 20,507.68 and 8,928.51 is: 13,390.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.86 : 20,507.68 = 8,928.51 : x
  2. Step 2: Convert to fraction form
    13,673.86/20,507.68 = 8,928.51/x
  3. Step 3: Cross multiply
    13,673.86x = 20,507.68 × 8,928.51
  4. Step 4: Simplify right side
    13,673.86x = 183,102,960.21
  5. Step 5: Solve for x
    x = 183,102,960.21/13,673.86
  6. Step 6: Final answer
    x = 13,390.73

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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.