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Finding the Fourth Proportional to 1,777.89, 2,666.87 and 1,412.93

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Solution

The fourth proportional to 1,777.89, 2,666.87 and 1,412.93 is: 2,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.89 : 2,666.87 = 1,412.93 : x
  2. Step 2: Convert to fraction form
    1,777.89/2,666.87 = 1,412.93/x
  3. Step 3: Cross multiply
    1,777.89x = 2,666.87 × 1,412.93
  4. Step 4: Simplify right side
    1,777.89x = 3,768,100.63
  5. Step 5: Solve for x
    x = 3,768,100.63/1,777.89
  6. Step 6: Final answer
    x = 2,119.42

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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.