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Finding the Fourth Proportional to 14,105.75, 19,465.94 and 7,818.53

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Solution

The fourth proportional to 14,105.75, 19,465.94 and 7,818.53 is: 10,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.75 : 19,465.94 = 7,818.53 : x
  2. Step 2: Convert to fraction form
    14,105.75/19,465.94 = 7,818.53/x
  3. Step 3: Cross multiply
    14,105.75x = 19,465.94 × 7,818.53
  4. Step 4: Simplify right side
    14,105.75x = 152,194,996.78
  5. Step 5: Solve for x
    x = 152,194,996.78/14,105.75
  6. Step 6: Final answer
    x = 10,789.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.