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Finding the Fourth Proportional to 6,728.08, 10,075 and 5,629.68

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Solution

The fourth proportional to 6,728.08, 10,075 and 5,629.68 is: 8,430.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.08 : 10,075 = 5,629.68 : x
  2. Step 2: Convert to fraction form
    6,728.08/10,075 = 5,629.68/x
  3. Step 3: Cross multiply
    6,728.08x = 10,075 × 5,629.68
  4. Step 4: Simplify right side
    6,728.08x = 56,719,026
  5. Step 5: Solve for x
    x = 56,719,026/6,728.08
  6. Step 6: Final answer
    x = 8,430.19

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1.5x scale

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.