Home / 1,824.19-2,735.75-507.64

Finding the Fourth Proportional to 1,824.19, 2,735.75 and 507.64

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Solution

The fourth proportional to 1,824.19, 2,735.75 and 507.64 is: 761.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.19 : 2,735.75 = 507.64 : x
  2. Step 2: Convert to fraction form
    1,824.19/2,735.75 = 507.64/x
  3. Step 3: Cross multiply
    1,824.19x = 2,735.75 × 507.64
  4. Step 4: Simplify right side
    1,824.19x = 1,388,766.75
  5. Step 5: Solve for x
    x = 1,388,766.75/1,824.19
  6. Step 6: Final answer
    x = 761.31

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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.