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Finding the Fourth Proportional to 13,802.41, 19,049.04 and 7,836.01

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Solution

The fourth proportional to 13,802.41, 19,049.04 and 7,836.01 is: 10,814.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.41 : 19,049.04 = 7,836.01 : x
  2. Step 2: Convert to fraction form
    13,802.41/19,049.04 = 7,836.01/x
  3. Step 3: Cross multiply
    13,802.41x = 19,049.04 × 7,836.01
  4. Step 4: Simplify right side
    13,802.41x = 149,268,467.93
  5. Step 5: Solve for x
    x = 149,268,467.93/13,802.41
  6. Step 6: Final answer
    x = 10,814.67

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Why These Related Problems?

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