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Finding the Fourth Proportional to 2,485.34, 3,728.01 and 925.28

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Solution

The fourth proportional to 2,485.34, 3,728.01 and 925.28 is: 1,387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.34 : 3,728.01 = 925.28 : x
  2. Step 2: Convert to fraction form
    2,485.34/3,728.01 = 925.28/x
  3. Step 3: Cross multiply
    2,485.34x = 3,728.01 × 925.28
  4. Step 4: Simplify right side
    2,485.34x = 3,449,453.09
  5. Step 5: Solve for x
    x = 3,449,453.09/2,485.34
  6. Step 6: Final answer
    x = 1,387.92

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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.