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Finding the Fourth Proportional to 13,802.30, 19,045.13 and 7,832.82

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Solution

The fourth proportional to 13,802.30, 19,045.13 and 7,832.82 is: 10,808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.30 : 19,045.13 = 7,832.82 : x
  2. Step 2: Convert to fraction form
    13,802.30/19,045.13 = 7,832.82/x
  3. Step 3: Cross multiply
    13,802.30x = 19,045.13 × 7,832.82
  4. Step 4: Simplify right side
    13,802.30x = 149,177,036.00
  5. Step 5: Solve for x
    x = 149,177,036.00/13,802.30
  6. Step 6: Final answer
    x = 10,808.13

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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.