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Finding the Fourth Proportional to 4,266.78, 6,400.20 and 1,305.29

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Solution

The fourth proportional to 4,266.78, 6,400.20 and 1,305.29 is: 1,957.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.78 : 6,400.20 = 1,305.29 : x
  2. Step 2: Convert to fraction form
    4,266.78/6,400.20 = 1,305.29/x
  3. Step 3: Cross multiply
    4,266.78x = 6,400.20 × 1,305.29
  4. Step 4: Simplify right side
    4,266.78x = 8,354,085.06
  5. Step 5: Solve for x
    x = 8,354,085.06/4,266.78
  6. Step 6: Final answer
    x = 1,957.94

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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.