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Finding the Fourth Proportional to 13,203, 19,813.14 and 4,995

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Solution

The fourth proportional to 13,203, 19,813.14 and 4,995 is: 7,495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203 : 19,813.14 = 4,995 : x
  2. Step 2: Convert to fraction form
    13,203/19,813.14 = 4,995/x
  3. Step 3: Cross multiply
    13,203x = 19,813.14 × 4,995
  4. Step 4: Simplify right side
    13,203x = 98,966,634.30
  5. Step 5: Solve for x
    x = 98,966,634.30/13,203
  6. Step 6: Final answer
    x = 7,495.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.