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Finding the Fourth Proportional to 3,664, 5,054.34 and 2,335.60

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Solution

The fourth proportional to 3,664, 5,054.34 and 2,335.60 is: 3,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664 : 5,054.34 = 2,335.60 : x
  2. Step 2: Convert to fraction form
    3,664/5,054.34 = 2,335.60/x
  3. Step 3: Cross multiply
    3,664x = 5,054.34 × 2,335.60
  4. Step 4: Simplify right side
    3,664x = 11,804,916.50
  5. Step 5: Solve for x
    x = 11,804,916.50/3,664
  6. Step 6: Final answer
    x = 3,221.87

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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.