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Finding the Fourth Proportional to 1,913.69, 2,868.14 and 816.77

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Solution

The fourth proportional to 1,913.69, 2,868.14 and 816.77 is: 1,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.69 : 2,868.14 = 816.77 : x
  2. Step 2: Convert to fraction form
    1,913.69/2,868.14 = 816.77/x
  3. Step 3: Cross multiply
    1,913.69x = 2,868.14 × 816.77
  4. Step 4: Simplify right side
    1,913.69x = 2,342,619.92
  5. Step 5: Solve for x
    x = 2,342,619.92/1,913.69
  6. Step 6: Final answer
    x = 1,224.14

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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.