Home / 1,823.19-2,734.75-524.65

Finding the Fourth Proportional to 1,823.19, 2,734.75 and 524.65

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Solution

The fourth proportional to 1,823.19, 2,734.75 and 524.65 is: 786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.19 : 2,734.75 = 524.65 : x
  2. Step 2: Convert to fraction form
    1,823.19/2,734.75 = 524.65/x
  3. Step 3: Cross multiply
    1,823.19x = 2,734.75 × 524.65
  4. Step 4: Simplify right side
    1,823.19x = 1,434,786.59
  5. Step 5: Solve for x
    x = 1,434,786.59/1,823.19
  6. Step 6: Final answer
    x = 786.96

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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.