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Finding the Fourth Proportional to 1,777.96, 2,651.27 and 1,654.84

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Solution

The fourth proportional to 1,777.96, 2,651.27 and 1,654.84 is: 2,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.96 : 2,651.27 = 1,654.84 : x
  2. Step 2: Convert to fraction form
    1,777.96/2,651.27 = 1,654.84/x
  3. Step 3: Cross multiply
    1,777.96x = 2,651.27 × 1,654.84
  4. Step 4: Simplify right side
    1,777.96x = 4,387,427.65
  5. Step 5: Solve for x
    x = 4,387,427.65/1,777.96
  6. Step 6: Final answer
    x = 2,467.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.