Home / 1,127.86-1,556.21-829.58

Finding the Fourth Proportional to 1,127.86, 1,556.21 and 829.58

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Solution

The fourth proportional to 1,127.86, 1,556.21 and 829.58 is: 1,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.86 : 1,556.21 = 829.58 : x
  2. Step 2: Convert to fraction form
    1,127.86/1,556.21 = 829.58/x
  3. Step 3: Cross multiply
    1,127.86x = 1,556.21 × 829.58
  4. Step 4: Simplify right side
    1,127.86x = 1,290,994.98
  5. Step 5: Solve for x
    x = 1,290,994.98/1,127.86
  6. Step 6: Final answer
    x = 1,144.64

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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.