Home / 1,542.32-2,313.96-926.72

Finding the Fourth Proportional to 1,542.32, 2,313.96 and 926.72

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Solution

The fourth proportional to 1,542.32, 2,313.96 and 926.72 is: 1,390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.32 : 2,313.96 = 926.72 : x
  2. Step 2: Convert to fraction form
    1,542.32/2,313.96 = 926.72/x
  3. Step 3: Cross multiply
    1,542.32x = 2,313.96 × 926.72
  4. Step 4: Simplify right side
    1,542.32x = 2,144,393.01
  5. Step 5: Solve for x
    x = 2,144,393.01/1,542.32
  6. Step 6: Final answer
    x = 1,390.37

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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.