Home / 1,540.98-2,313.09-926.19

Finding the Fourth Proportional to 1,540.98, 2,313.09 and 926.19

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Solution

The fourth proportional to 1,540.98, 2,313.09 and 926.19 is: 1,390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.98 : 2,313.09 = 926.19 : x
  2. Step 2: Convert to fraction form
    1,540.98/2,313.09 = 926.19/x
  3. Step 3: Cross multiply
    1,540.98x = 2,313.09 × 926.19
  4. Step 4: Simplify right side
    1,540.98x = 2,142,360.83
  5. Step 5: Solve for x
    x = 2,142,360.83/1,540.98
  6. Step 6: Final answer
    x = 1,390.26

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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.