Home / 1,428.33-2,141.47-964.98

Finding the Fourth Proportional to 1,428.33, 2,141.47 and 964.98

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Solution

The fourth proportional to 1,428.33, 2,141.47 and 964.98 is: 1,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.33 : 2,141.47 = 964.98 : x
  2. Step 2: Convert to fraction form
    1,428.33/2,141.47 = 964.98/x
  3. Step 3: Cross multiply
    1,428.33x = 2,141.47 × 964.98
  4. Step 4: Simplify right side
    1,428.33x = 2,066,476.93
  5. Step 5: Solve for x
    x = 2,066,476.93/1,428.33
  6. Step 6: Final answer
    x = 1,446.77

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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.