Home / 1,004.12-1,506.17-926.36

Finding the Fourth Proportional to 1,004.12, 1,506.17 and 926.36

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Solution

The fourth proportional to 1,004.12, 1,506.17 and 926.36 is: 1,389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.12 : 1,506.17 = 926.36 : x
  2. Step 2: Convert to fraction form
    1,004.12/1,506.17 = 926.36/x
  3. Step 3: Cross multiply
    1,004.12x = 1,506.17 × 926.36
  4. Step 4: Simplify right side
    1,004.12x = 1,395,250.43
  5. Step 5: Solve for x
    x = 1,395,250.43/1,004.12
  6. Step 6: Final answer
    x = 1,389.53

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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.