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Finding the Fourth Proportional to 19,806.17, 29,689.23 and 12,415.81

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Solution

The fourth proportional to 19,806.17, 29,689.23 and 12,415.81 is: 18,611.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.17 : 29,689.23 = 12,415.81 : x
  2. Step 2: Convert to fraction form
    19,806.17/29,689.23 = 12,415.81/x
  3. Step 3: Cross multiply
    19,806.17x = 29,689.23 × 12,415.81
  4. Step 4: Simplify right side
    19,806.17x = 368,615,783.23
  5. Step 5: Solve for x
    x = 368,615,783.23/19,806.17
  6. Step 6: Final answer
    x = 18,611.16

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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.