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Finding the Fourth Proportional to 2,485.34, 3,728.54 and 841.80

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Solution

The fourth proportional to 2,485.34, 3,728.54 and 841.80 is: 1,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.34 : 3,728.54 = 841.80 : x
  2. Step 2: Convert to fraction form
    2,485.34/3,728.54 = 841.80/x
  3. Step 3: Cross multiply
    2,485.34x = 3,728.54 × 841.80
  4. Step 4: Simplify right side
    2,485.34x = 3,138,680.76
  5. Step 5: Solve for x
    x = 3,138,680.76/2,485.34
  6. Step 6: Final answer
    x = 1,262.88

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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.