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Finding the Fourth Proportional to 13,801.21, 19,045.80 and 7,832.93

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Solution

The fourth proportional to 13,801.21, 19,045.80 and 7,832.93 is: 10,809.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.21 : 19,045.80 = 7,832.93 : x
  2. Step 2: Convert to fraction form
    13,801.21/19,045.80 = 7,832.93/x
  3. Step 3: Cross multiply
    13,801.21x = 19,045.80 × 7,832.93
  4. Step 4: Simplify right side
    13,801.21x = 149,184,322.97
  5. Step 5: Solve for x
    x = 149,184,322.97/13,801.21
  6. Step 6: Final answer
    x = 10,809.51

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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.