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Finding the Fourth Proportional to 13,084, 18,055.84 and 7,419.84

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Solution

The fourth proportional to 13,084, 18,055.84 and 7,419.84 is: 10,239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084 : 18,055.84 = 7,419.84 : x
  2. Step 2: Convert to fraction form
    13,084/18,055.84 = 7,419.84/x
  3. Step 3: Cross multiply
    13,084x = 18,055.84 × 7,419.84
  4. Step 4: Simplify right side
    13,084x = 133,971,443.87
  5. Step 5: Solve for x
    x = 133,971,443.87/13,084
  6. Step 6: Final answer
    x = 10,239.33

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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.