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Finding the Fourth Proportional to 13,365, 20,038.26 and 9,619.08

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Solution

The fourth proportional to 13,365, 20,038.26 and 9,619.08 is: 14,421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,365 : 20,038.26 = 9,619.08 : x
  2. Step 2: Convert to fraction form
    13,365/20,038.26 = 9,619.08/x
  3. Step 3: Cross multiply
    13,365x = 20,038.26 × 9,619.08
  4. Step 4: Simplify right side
    13,365x = 192,749,626.00
  5. Step 5: Solve for x
    x = 192,749,626.00/13,365
  6. Step 6: Final answer
    x = 14,421.97

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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.