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Finding the Fourth Proportional to 3,572.33, 5,358.49 and 1,929.65

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Solution

The fourth proportional to 3,572.33, 5,358.49 and 1,929.65 is: 2,894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.33 : 5,358.49 = 1,929.65 : x
  2. Step 2: Convert to fraction form
    3,572.33/5,358.49 = 1,929.65/x
  3. Step 3: Cross multiply
    3,572.33x = 5,358.49 × 1,929.65
  4. Step 4: Simplify right side
    3,572.33x = 10,339,978.61
  5. Step 5: Solve for x
    x = 10,339,978.61/3,572.33
  6. Step 6: Final answer
    x = 2,894.47

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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.