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Finding the Fourth Proportional to 13,313.88, 18,380.52 and 8,010

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Solution

The fourth proportional to 13,313.88, 18,380.52 and 8,010 is: 11,058.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,313.88 : 18,380.52 = 8,010 : x
  2. Step 2: Convert to fraction form
    13,313.88/18,380.52 = 8,010/x
  3. Step 3: Cross multiply
    13,313.88x = 18,380.52 × 8,010
  4. Step 4: Simplify right side
    13,313.88x = 147,227,965.20
  5. Step 5: Solve for x
    x = 147,227,965.20/13,313.88
  6. Step 6: Final answer
    x = 11,058.23

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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.