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Finding the Fourth Proportional to 1,777.89, 2,666.86 and 853.28

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Solution

The fourth proportional to 1,777.89, 2,666.86 and 853.28 is: 1,279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.89 : 2,666.86 = 853.28 : x
  2. Step 2: Convert to fraction form
    1,777.89/2,666.86 = 853.28/x
  3. Step 3: Cross multiply
    1,777.89x = 2,666.86 × 853.28
  4. Step 4: Simplify right side
    1,777.89x = 2,275,562.83
  5. Step 5: Solve for x
    x = 2,275,562.83/1,777.89
  6. Step 6: Final answer
    x = 1,279.92

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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.