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Finding the Fourth Proportional to 2,333.34, 3,220 and 1,285.41

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Solution

The fourth proportional to 2,333.34, 3,220 and 1,285.41 is: 1,773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.34 : 3,220 = 1,285.41 : x
  2. Step 2: Convert to fraction form
    2,333.34/3,220 = 1,285.41/x
  3. Step 3: Cross multiply
    2,333.34x = 3,220 × 1,285.41
  4. Step 4: Simplify right side
    2,333.34x = 4,139,020.20
  5. Step 5: Solve for x
    x = 4,139,020.20/2,333.34
  6. Step 6: Final answer
    x = 1,773.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.