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Finding the Fourth Proportional to 10,058.52, 13,883.97 and 7,083.06

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Solution

The fourth proportional to 10,058.52, 13,883.97 and 7,083.06 is: 9,776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.52 : 13,883.97 = 7,083.06 : x
  2. Step 2: Convert to fraction form
    10,058.52/13,883.97 = 7,083.06/x
  3. Step 3: Cross multiply
    10,058.52x = 13,883.97 × 7,083.06
  4. Step 4: Simplify right side
    10,058.52x = 98,340,992.55
  5. Step 5: Solve for x
    x = 98,340,992.55/10,058.52
  6. Step 6: Final answer
    x = 9,776.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.