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Finding the Fourth Proportional to 13,804.82, 20,707.13 and 8,259.71

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Solution

The fourth proportional to 13,804.82, 20,707.13 and 8,259.71 is: 12,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.82 : 20,707.13 = 8,259.71 : x
  2. Step 2: Convert to fraction form
    13,804.82/20,707.13 = 8,259.71/x
  3. Step 3: Cross multiply
    13,804.82x = 20,707.13 × 8,259.71
  4. Step 4: Simplify right side
    13,804.82x = 171,034,743.90
  5. Step 5: Solve for x
    x = 171,034,743.90/13,804.82
  6. Step 6: Final answer
    x = 12,389.50

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1.5x scale

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.