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Finding the Fourth Proportional to 2,154.64, 3,234.40 and 857.02

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Solution

The fourth proportional to 2,154.64, 3,234.40 and 857.02 is: 1,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.64 : 3,234.40 = 857.02 : x
  2. Step 2: Convert to fraction form
    2,154.64/3,234.40 = 857.02/x
  3. Step 3: Cross multiply
    2,154.64x = 3,234.40 × 857.02
  4. Step 4: Simplify right side
    2,154.64x = 2,771,945.49
  5. Step 5: Solve for x
    x = 2,771,945.49/2,154.64
  6. Step 6: Final answer
    x = 1,286.50

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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.