Home / 1,349.32-2,026.80-829.56

Finding the Fourth Proportional to 1,349.32, 2,026.80 and 829.56

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Solution

The fourth proportional to 1,349.32, 2,026.80 and 829.56 is: 1,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.32 : 2,026.80 = 829.56 : x
  2. Step 2: Convert to fraction form
    1,349.32/2,026.80 = 829.56/x
  3. Step 3: Cross multiply
    1,349.32x = 2,026.80 × 829.56
  4. Step 4: Simplify right side
    1,349.32x = 1,681,352.21
  5. Step 5: Solve for x
    x = 1,681,352.21/1,349.32
  6. Step 6: Final answer
    x = 1,246.07

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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.