Home / 1,021.11-1,538.47-923.72

Finding the Fourth Proportional to 1,021.11, 1,538.47 and 923.72

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Solution

The fourth proportional to 1,021.11, 1,538.47 and 923.72 is: 1,391.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.11 : 1,538.47 = 923.72 : x
  2. Step 2: Convert to fraction form
    1,021.11/1,538.47 = 923.72/x
  3. Step 3: Cross multiply
    1,021.11x = 1,538.47 × 923.72
  4. Step 4: Simplify right side
    1,021.11x = 1,421,108.97
  5. Step 5: Solve for x
    x = 1,421,108.97/1,021.11
  6. Step 6: Final answer
    x = 1,391.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.