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Finding the Fourth Proportional to 2,485.84, 3,728.77 and 842.40

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Solution

The fourth proportional to 2,485.84, 3,728.77 and 842.40 is: 1,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.84 : 3,728.77 = 842.40 : x
  2. Step 2: Convert to fraction form
    2,485.84/3,728.77 = 842.40/x
  3. Step 3: Cross multiply
    2,485.84x = 3,728.77 × 842.40
  4. Step 4: Simplify right side
    2,485.84x = 3,141,115.85
  5. Step 5: Solve for x
    x = 3,141,115.85/2,485.84
  6. Step 6: Final answer
    x = 1,263.60

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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.