Home / 1,954.24-2,931.12-493.26

Finding the Fourth Proportional to 1,954.24, 2,931.12 and 493.26

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Solution

The fourth proportional to 1,954.24, 2,931.12 and 493.26 is: 739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.24 : 2,931.12 = 493.26 : x
  2. Step 2: Convert to fraction form
    1,954.24/2,931.12 = 493.26/x
  3. Step 3: Cross multiply
    1,954.24x = 2,931.12 × 493.26
  4. Step 4: Simplify right side
    1,954.24x = 1,445,804.25
  5. Step 5: Solve for x
    x = 1,445,804.25/1,954.24
  6. Step 6: Final answer
    x = 739.83

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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.