Home / 1,428.85-2,141.81-909.24

Finding the Fourth Proportional to 1,428.85, 2,141.81 and 909.24

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Solution

The fourth proportional to 1,428.85, 2,141.81 and 909.24 is: 1,362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.85 : 2,141.81 = 909.24 : x
  2. Step 2: Convert to fraction form
    1,428.85/2,141.81 = 909.24/x
  3. Step 3: Cross multiply
    1,428.85x = 2,141.81 × 909.24
  4. Step 4: Simplify right side
    1,428.85x = 1,947,419.32
  5. Step 5: Solve for x
    x = 1,947,419.32/1,428.85
  6. Step 6: Final answer
    x = 1,362.93

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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.