Home / 1,954.23-2,931.90-1,029.57

Finding the Fourth Proportional to 1,954.23, 2,931.90 and 1,029.57

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Solution

The fourth proportional to 1,954.23, 2,931.90 and 1,029.57 is: 1,544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.23 : 2,931.90 = 1,029.57 : x
  2. Step 2: Convert to fraction form
    1,954.23/2,931.90 = 1,029.57/x
  3. Step 3: Cross multiply
    1,954.23x = 2,931.90 × 1,029.57
  4. Step 4: Simplify right side
    1,954.23x = 3,018,596.28
  5. Step 5: Solve for x
    x = 3,018,596.28/1,954.23
  6. Step 6: Final answer
    x = 1,544.65

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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.