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Finding the Fourth Proportional to 1,394.84, 2,089.28 and 1,047.65

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Solution

The fourth proportional to 1,394.84, 2,089.28 and 1,047.65 is: 1,569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.84 : 2,089.28 = 1,047.65 : x
  2. Step 2: Convert to fraction form
    1,394.84/2,089.28 = 1,047.65/x
  3. Step 3: Cross multiply
    1,394.84x = 2,089.28 × 1,047.65
  4. Step 4: Simplify right side
    1,394.84x = 2,188,842.03
  5. Step 5: Solve for x
    x = 2,188,842.03/1,394.84
  6. Step 6: Final answer
    x = 1,569.24

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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.