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Finding the Fourth Proportional to 1,942.74, 2,913.93 and 772.56

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Solution

The fourth proportional to 1,942.74, 2,913.93 and 772.56 is: 1,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.74 : 2,913.93 = 772.56 : x
  2. Step 2: Convert to fraction form
    1,942.74/2,913.93 = 772.56/x
  3. Step 3: Cross multiply
    1,942.74x = 2,913.93 × 772.56
  4. Step 4: Simplify right side
    1,942.74x = 2,251,185.76
  5. Step 5: Solve for x
    x = 2,251,185.76/1,942.74
  6. Step 6: Final answer
    x = 1,158.77

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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.