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Finding the Fourth Proportional to 13,993.10, 19,310.93 and 7,619.95

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Solution

The fourth proportional to 13,993.10, 19,310.93 and 7,619.95 is: 10,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.10 : 19,310.93 = 7,619.95 : x
  2. Step 2: Convert to fraction form
    13,993.10/19,310.93 = 7,619.95/x
  3. Step 3: Cross multiply
    13,993.10x = 19,310.93 × 7,619.95
  4. Step 4: Simplify right side
    13,993.10x = 147,148,254.57
  5. Step 5: Solve for x
    x = 147,148,254.57/13,993.10
  6. Step 6: Final answer
    x = 10,515.77

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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.