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Finding the Fourth Proportional to 1,777.55, 2,666.47 and 1,361.69

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Solution

The fourth proportional to 1,777.55, 2,666.47 and 1,361.69 is: 2,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.55 : 2,666.47 = 1,361.69 : x
  2. Step 2: Convert to fraction form
    1,777.55/2,666.47 = 1,361.69/x
  3. Step 3: Cross multiply
    1,777.55x = 2,666.47 × 1,361.69
  4. Step 4: Simplify right side
    1,777.55x = 3,630,885.39
  5. Step 5: Solve for x
    x = 3,630,885.39/1,777.55
  6. Step 6: Final answer
    x = 2,042.63

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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.