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Finding the Fourth Proportional to 2,485.63, 3,728.03 and 842.14

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Solution

The fourth proportional to 2,485.63, 3,728.03 and 842.14 is: 1,263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.63 : 3,728.03 = 842.14 : x
  2. Step 2: Convert to fraction form
    2,485.63/3,728.03 = 842.14/x
  3. Step 3: Cross multiply
    2,485.63x = 3,728.03 × 842.14
  4. Step 4: Simplify right side
    2,485.63x = 3,139,515.97
  5. Step 5: Solve for x
    x = 3,139,515.97/2,485.63
  6. Step 6: Final answer
    x = 1,263.07

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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.