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Finding the Fourth Proportional to 13,738.57, 20,592.83 and 7,075.47

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Solution

The fourth proportional to 13,738.57, 20,592.83 and 7,075.47 is: 10,605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.57 : 20,592.83 = 7,075.47 : x
  2. Step 2: Convert to fraction form
    13,738.57/20,592.83 = 7,075.47/x
  3. Step 3: Cross multiply
    13,738.57x = 20,592.83 × 7,075.47
  4. Step 4: Simplify right side
    13,738.57x = 145,703,915.50
  5. Step 5: Solve for x
    x = 145,703,915.50/13,738.57
  6. Step 6: Final answer
    x = 10,605.46

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Why These Related Problems?

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