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Finding the Fourth Proportional to 1,941.65, 2,910.75 and 772.47

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Solution

The fourth proportional to 1,941.65, 2,910.75 and 772.47 is: 1,158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.65 : 2,910.75 = 772.47 : x
  2. Step 2: Convert to fraction form
    1,941.65/2,910.75 = 772.47/x
  3. Step 3: Cross multiply
    1,941.65x = 2,910.75 × 772.47
  4. Step 4: Simplify right side
    1,941.65x = 2,248,467.05
  5. Step 5: Solve for x
    x = 2,248,467.05/1,941.65
  6. Step 6: Final answer
    x = 1,158.02

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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.