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Finding the Fourth Proportional to 13,475.26, 18,596.05 and 7,810.43

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Solution

The fourth proportional to 13,475.26, 18,596.05 and 7,810.43 is: 10,778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.26 : 18,596.05 = 7,810.43 : x
  2. Step 2: Convert to fraction form
    13,475.26/18,596.05 = 7,810.43/x
  3. Step 3: Cross multiply
    13,475.26x = 18,596.05 × 7,810.43
  4. Step 4: Simplify right side
    13,475.26x = 145,243,034.30
  5. Step 5: Solve for x
    x = 145,243,034.30/13,475.26
  6. Step 6: Final answer
    x = 10,778.49

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