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Finding the Fourth Proportional to 13,805.88, 19,051.50 and 7,837.44

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Solution

The fourth proportional to 13,805.88, 19,051.50 and 7,837.44 is: 10,815.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.88 : 19,051.50 = 7,837.44 : x
  2. Step 2: Convert to fraction form
    13,805.88/19,051.50 = 7,837.44/x
  3. Step 3: Cross multiply
    13,805.88x = 19,051.50 × 7,837.44
  4. Step 4: Simplify right side
    13,805.88x = 149,314,988.16
  5. Step 5: Solve for x
    x = 149,314,988.16/13,805.88
  6. Step 6: Final answer
    x = 10,815.32

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1.5x scale

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.