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Finding the Fourth Proportional to 2,318.70, 3,478.51 and 857.87

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Solution

The fourth proportional to 2,318.70, 3,478.51 and 857.87 is: 1,286.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.70 : 3,478.51 = 857.87 : x
  2. Step 2: Convert to fraction form
    2,318.70/3,478.51 = 857.87/x
  3. Step 3: Cross multiply
    2,318.70x = 3,478.51 × 857.87
  4. Step 4: Simplify right side
    2,318.70x = 2,984,109.37
  5. Step 5: Solve for x
    x = 2,984,109.37/2,318.70
  6. Step 6: Final answer
    x = 1,286.98

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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.