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Finding the Fourth Proportional to 13,807.68, 19,051.32 and 7,838.04

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Solution

The fourth proportional to 13,807.68, 19,051.32 and 7,838.04 is: 10,814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.68 : 19,051.32 = 7,838.04 : x
  2. Step 2: Convert to fraction form
    13,807.68/19,051.32 = 7,838.04/x
  3. Step 3: Cross multiply
    13,807.68x = 19,051.32 × 7,838.04
  4. Step 4: Simplify right side
    13,807.68x = 149,325,008.21
  5. Step 5: Solve for x
    x = 149,325,008.21/13,807.68
  6. Step 6: Final answer
    x = 10,814.63

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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.