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Finding the Fourth Proportional to 13,506.14, 18,635.50 and 7,837.63

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Solution

The fourth proportional to 13,506.14, 18,635.50 and 7,837.63 is: 10,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.14 : 18,635.50 = 7,837.63 : x
  2. Step 2: Convert to fraction form
    13,506.14/18,635.50 = 7,837.63/x
  3. Step 3: Cross multiply
    13,506.14x = 18,635.50 × 7,837.63
  4. Step 4: Simplify right side
    13,506.14x = 146,058,117.07
  5. Step 5: Solve for x
    x = 146,058,117.07/13,506.14
  6. Step 6: Final answer
    x = 10,814.20

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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.