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Finding the Fourth Proportional to 2,318.64, 3,476.31 and 857.62

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Solution

The fourth proportional to 2,318.64, 3,476.31 and 857.62 is: 1,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.64 : 3,476.31 = 857.62 : x
  2. Step 2: Convert to fraction form
    2,318.64/3,476.31 = 857.62/x
  3. Step 3: Cross multiply
    2,318.64x = 3,476.31 × 857.62
  4. Step 4: Simplify right side
    2,318.64x = 2,981,352.98
  5. Step 5: Solve for x
    x = 2,981,352.98/2,318.64
  6. Step 6: Final answer
    x = 1,285.82

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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.