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Finding the Fourth Proportional to 4,214.90, 5,787.09 and 3,422.90

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Solution

The fourth proportional to 4,214.90, 5,787.09 and 3,422.90 is: 4,699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.90 : 5,787.09 = 3,422.90 : x
  2. Step 2: Convert to fraction form
    4,214.90/5,787.09 = 3,422.90/x
  3. Step 3: Cross multiply
    4,214.90x = 5,787.09 × 3,422.90
  4. Step 4: Simplify right side
    4,214.90x = 19,808,613.25
  5. Step 5: Solve for x
    x = 19,808,613.25/4,214.90
  6. Step 6: Final answer
    x = 4,699.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.