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Finding the Fourth Proportional to 13,735, 20,601.46 and 4,374.64

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Solution

The fourth proportional to 13,735, 20,601.46 and 4,374.64 is: 6,561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735 : 20,601.46 = 4,374.64 : x
  2. Step 2: Convert to fraction form
    13,735/20,601.46 = 4,374.64/x
  3. Step 3: Cross multiply
    13,735x = 20,601.46 × 4,374.64
  4. Step 4: Simplify right side
    13,735x = 90,123,970.97
  5. Step 5: Solve for x
    x = 90,123,970.97/13,735
  6. Step 6: Final answer
    x = 6,561.63

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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.