Home / 1,823.36-2,735.46-524.81

Finding the Fourth Proportional to 1,823.36, 2,735.46 and 524.81

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Solution

The fourth proportional to 1,823.36, 2,735.46 and 524.81 is: 787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.36 : 2,735.46 = 524.81 : x
  2. Step 2: Convert to fraction form
    1,823.36/2,735.46 = 524.81/x
  3. Step 3: Cross multiply
    1,823.36x = 2,735.46 × 524.81
  4. Step 4: Simplify right side
    1,823.36x = 1,435,596.76
  5. Step 5: Solve for x
    x = 1,435,596.76/1,823.36
  6. Step 6: Final answer
    x = 787.34

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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.