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Finding the Fourth Proportional to 1,428.94, 2,147 and 909.17

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Solution

The fourth proportional to 1,428.94, 2,147 and 909.17 is: 1,366.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.94 : 2,147 = 909.17 : x
  2. Step 2: Convert to fraction form
    1,428.94/2,147 = 909.17/x
  3. Step 3: Cross multiply
    1,428.94x = 2,147 × 909.17
  4. Step 4: Simplify right side
    1,428.94x = 1,951,987.99
  5. Step 5: Solve for x
    x = 1,951,987.99/1,428.94
  6. Step 6: Final answer
    x = 1,366.04

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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.