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Finding the Fourth Proportional to 12,639, 18,957.72 and 3,873.24

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Solution

The fourth proportional to 12,639, 18,957.72 and 3,873.24 is: 5,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,639 : 18,957.72 = 3,873.24 : x
  2. Step 2: Convert to fraction form
    12,639/18,957.72 = 3,873.24/x
  3. Step 3: Cross multiply
    12,639x = 18,957.72 × 3,873.24
  4. Step 4: Simplify right side
    12,639x = 73,427,799.41
  5. Step 5: Solve for x
    x = 73,427,799.41/12,639
  6. Step 6: Final answer
    x = 5,809.62

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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.