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Finding the Fourth Proportional to 13,056.58, 19,583 and 4,172.92

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Solution

The fourth proportional to 13,056.58, 19,583 and 4,172.92 is: 6,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,056.58 : 19,583 = 4,172.92 : x
  2. Step 2: Convert to fraction form
    13,056.58/19,583 = 4,172.92/x
  3. Step 3: Cross multiply
    13,056.58x = 19,583 × 4,172.92
  4. Step 4: Simplify right side
    13,056.58x = 81,718,292.36
  5. Step 5: Solve for x
    x = 81,718,292.36/13,056.58
  6. Step 6: Final answer
    x = 6,258.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.