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Finding the Fourth Proportional to 4,214, 6,321 and 1,292.29

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Solution

The fourth proportional to 4,214, 6,321 and 1,292.29 is: 1,938.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214 : 6,321 = 1,292.29 : x
  2. Step 2: Convert to fraction form
    4,214/6,321 = 1,292.29/x
  3. Step 3: Cross multiply
    4,214x = 6,321 × 1,292.29
  4. Step 4: Simplify right side
    4,214x = 8,168,565.09
  5. Step 5: Solve for x
    x = 8,168,565.09/4,214
  6. Step 6: Final answer
    x = 1,938.44

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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.