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Finding the Fourth Proportional to 13,999, 19,319.16 and 7,711.24

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Solution

The fourth proportional to 13,999, 19,319.16 and 7,711.24 is: 10,641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,999 : 19,319.16 = 7,711.24 : x
  2. Step 2: Convert to fraction form
    13,999/19,319.16 = 7,711.24/x
  3. Step 3: Cross multiply
    13,999x = 19,319.16 × 7,711.24
  4. Step 4: Simplify right side
    13,999x = 148,974,679.36
  5. Step 5: Solve for x
    x = 148,974,679.36/13,999
  6. Step 6: Final answer
    x = 10,641.81

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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.