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Finding the Fourth Proportional to 13,309.90, 19,923.31 and 9,803.86

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Solution

The fourth proportional to 13,309.90, 19,923.31 and 9,803.86 is: 14,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.90 : 19,923.31 = 9,803.86 : x
  2. Step 2: Convert to fraction form
    13,309.90/19,923.31 = 9,803.86/x
  3. Step 3: Cross multiply
    13,309.90x = 19,923.31 × 9,803.86
  4. Step 4: Simplify right side
    13,309.90x = 195,325,267.66
  5. Step 5: Solve for x
    x = 195,325,267.66/13,309.90
  6. Step 6: Final answer
    x = 14,675.19

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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.