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Finding the Fourth Proportional to 13,405.83, 18,501.64 and 7,741.96

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Solution

The fourth proportional to 13,405.83, 18,501.64 and 7,741.96 is: 10,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.83 : 18,501.64 = 7,741.96 : x
  2. Step 2: Convert to fraction form
    13,405.83/18,501.64 = 7,741.96/x
  3. Step 3: Cross multiply
    13,405.83x = 18,501.64 × 7,741.96
  4. Step 4: Simplify right side
    13,405.83x = 143,238,891.21
  5. Step 5: Solve for x
    x = 143,238,891.21/13,405.83
  6. Step 6: Final answer
    x = 10,684.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.