Home / 1,786.84-2,465.01-1,157.58

Finding the Fourth Proportional to 1,786.84, 2,465.01 and 1,157.58

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Solution

The fourth proportional to 1,786.84, 2,465.01 and 1,157.58 is: 1,596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.84 : 2,465.01 = 1,157.58 : x
  2. Step 2: Convert to fraction form
    1,786.84/2,465.01 = 1,157.58/x
  3. Step 3: Cross multiply
    1,786.84x = 2,465.01 × 1,157.58
  4. Step 4: Simplify right side
    1,786.84x = 2,853,441.37
  5. Step 5: Solve for x
    x = 2,853,441.37/1,786.84
  6. Step 6: Final answer
    x = 1,596.92

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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.