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Finding the Fourth Proportional to 13,309.24, 19,963.86 and 4,075.24

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Solution

The fourth proportional to 13,309.24, 19,963.86 and 4,075.24 is: 6,112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.24 : 19,963.86 = 4,075.24 : x
  2. Step 2: Convert to fraction form
    13,309.24/19,963.86 = 4,075.24/x
  3. Step 3: Cross multiply
    13,309.24x = 19,963.86 × 4,075.24
  4. Step 4: Simplify right side
    13,309.24x = 81,357,520.83
  5. Step 5: Solve for x
    x = 81,357,520.83/13,309.24
  6. Step 6: Final answer
    x = 6,112.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.