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Finding the Fourth Proportional to 13,805.29, 19,051.88 and 7,837.53

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Solution

The fourth proportional to 13,805.29, 19,051.88 and 7,837.53 is: 10,816.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.29 : 19,051.88 = 7,837.53 : x
  2. Step 2: Convert to fraction form
    13,805.29/19,051.88 = 7,837.53/x
  3. Step 3: Cross multiply
    13,805.29x = 19,051.88 × 7,837.53
  4. Step 4: Simplify right side
    13,805.29x = 149,319,681.06
  5. Step 5: Solve for x
    x = 149,319,681.06/13,805.29
  6. Step 6: Final answer
    x = 10,816.12

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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.