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Finding the Fourth Proportional to 2,485.80, 3,728.70 and 2,416.68

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Solution

The fourth proportional to 2,485.80, 3,728.70 and 2,416.68 is: 3,625.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.80 : 3,728.70 = 2,416.68 : x
  2. Step 2: Convert to fraction form
    2,485.80/3,728.70 = 2,416.68/x
  3. Step 3: Cross multiply
    2,485.80x = 3,728.70 × 2,416.68
  4. Step 4: Simplify right side
    2,485.80x = 9,011,074.72
  5. Step 5: Solve for x
    x = 9,011,074.72/2,485.80
  6. Step 6: Final answer
    x = 3,625.02

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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.