Home / 1,823.16-2,734.72-524.58

Finding the Fourth Proportional to 1,823.16, 2,734.72 and 524.58

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Solution

The fourth proportional to 1,823.16, 2,734.72 and 524.58 is: 786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.16 : 2,734.72 = 524.58 : x
  2. Step 2: Convert to fraction form
    1,823.16/2,734.72 = 524.58/x
  3. Step 3: Cross multiply
    1,823.16x = 2,734.72 × 524.58
  4. Step 4: Simplify right side
    1,823.16x = 1,434,579.42
  5. Step 5: Solve for x
    x = 1,434,579.42/1,823.16
  6. Step 6: Final answer
    x = 786.86

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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.