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Finding the Fourth Proportional to 13,788, 19,030.68 and 8,202.24

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Solution

The fourth proportional to 13,788, 19,030.68 and 8,202.24 is: 11,321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788 : 19,030.68 = 8,202.24 : x
  2. Step 2: Convert to fraction form
    13,788/19,030.68 = 8,202.24/x
  3. Step 3: Cross multiply
    13,788x = 19,030.68 × 8,202.24
  4. Step 4: Simplify right side
    13,788x = 156,094,204.72
  5. Step 5: Solve for x
    x = 156,094,204.72/13,788
  6. Step 6: Final answer
    x = 11,321.02

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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.