Home / 1,184.12-1,634.76-786.31

Finding the Fourth Proportional to 1,184.12, 1,634.76 and 786.31

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Solution

The fourth proportional to 1,184.12, 1,634.76 and 786.31 is: 1,085.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.12 : 1,634.76 = 786.31 : x
  2. Step 2: Convert to fraction form
    1,184.12/1,634.76 = 786.31/x
  3. Step 3: Cross multiply
    1,184.12x = 1,634.76 × 786.31
  4. Step 4: Simplify right side
    1,184.12x = 1,285,421.84
  5. Step 5: Solve for x
    x = 1,285,421.84/1,184.12
  6. Step 6: Final answer
    x = 1,085.55

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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.