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Finding the Fourth Proportional to 13,053, 18,013 and 7,084.88

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Solution

The fourth proportional to 13,053, 18,013 and 7,084.88 is: 9,777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053 : 18,013 = 7,084.88 : x
  2. Step 2: Convert to fraction form
    13,053/18,013 = 7,084.88/x
  3. Step 3: Cross multiply
    13,053x = 18,013 × 7,084.88
  4. Step 4: Simplify right side
    13,053x = 127,619,943.44
  5. Step 5: Solve for x
    x = 127,619,943.44/13,053
  6. Step 6: Final answer
    x = 9,777.06

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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.