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Finding the Fourth Proportional to 19,406.40, 29,066.40 and 18,974.40

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Solution

The fourth proportional to 19,406.40, 29,066.40 and 18,974.40 is: 28,419.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,406.40 : 29,066.40 = 18,974.40 : x
  2. Step 2: Convert to fraction form
    19,406.40/29,066.40 = 18,974.40/x
  3. Step 3: Cross multiply
    19,406.40x = 29,066.40 × 18,974.40
  4. Step 4: Simplify right side
    19,406.40x = 551,517,500.16
  5. Step 5: Solve for x
    x = 551,517,500.16/19,406.40
  6. Step 6: Final answer
    x = 28,419.36

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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.