Home / 1,577.86-2,177.26-914.62

Finding the Fourth Proportional to 1,577.86, 2,177.26 and 914.62

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Solution

The fourth proportional to 1,577.86, 2,177.26 and 914.62 is: 1,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.86 : 2,177.26 = 914.62 : x
  2. Step 2: Convert to fraction form
    1,577.86/2,177.26 = 914.62/x
  3. Step 3: Cross multiply
    1,577.86x = 2,177.26 × 914.62
  4. Step 4: Simplify right side
    1,577.86x = 1,991,365.54
  5. Step 5: Solve for x
    x = 1,991,365.54/1,577.86
  6. Step 6: Final answer
    x = 1,262.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.