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Finding the Fourth Proportional to 13,075, 18,043.90 and 7,409.60

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Solution

The fourth proportional to 13,075, 18,043.90 and 7,409.60 is: 10,225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075 : 18,043.90 = 7,409.60 : x
  2. Step 2: Convert to fraction form
    13,075/18,043.90 = 7,409.60/x
  3. Step 3: Cross multiply
    13,075x = 18,043.90 × 7,409.60
  4. Step 4: Simplify right side
    13,075x = 133,698,081.44
  5. Step 5: Solve for x
    x = 133,698,081.44/13,075
  6. Step 6: Final answer
    x = 10,225.47

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1.5x scale

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.