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Finding the Fourth Proportional to 13,309.94, 19,978.75 and 9,803.90

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Solution

The fourth proportional to 13,309.94, 19,978.75 and 9,803.90 is: 14,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.94 : 19,978.75 = 9,803.90 : x
  2. Step 2: Convert to fraction form
    13,309.94/19,978.75 = 9,803.90/x
  3. Step 3: Cross multiply
    13,309.94x = 19,978.75 × 9,803.90
  4. Step 4: Simplify right side
    13,309.94x = 195,869,667.13
  5. Step 5: Solve for x
    x = 195,869,667.13/13,309.94
  6. Step 6: Final answer
    x = 14,716.05

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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.