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Finding the Fourth Proportional to 13,862, 19,129.54 and 7,893.67

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Solution

The fourth proportional to 13,862, 19,129.54 and 7,893.67 is: 10,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862 : 19,129.54 = 7,893.67 : x
  2. Step 2: Convert to fraction form
    13,862/19,129.54 = 7,893.67/x
  3. Step 3: Cross multiply
    13,862x = 19,129.54 × 7,893.67
  4. Step 4: Simplify right side
    13,862x = 151,002,256.28
  5. Step 5: Solve for x
    x = 151,002,256.28/13,862
  6. Step 6: Final answer
    x = 10,893.25

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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.