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Finding the Fourth Proportional to 3,319.65, 4,978.33 and 1,472.06

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Solution

The fourth proportional to 3,319.65, 4,978.33 and 1,472.06 is: 2,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.65 : 4,978.33 = 1,472.06 : x
  2. Step 2: Convert to fraction form
    3,319.65/4,978.33 = 1,472.06/x
  3. Step 3: Cross multiply
    3,319.65x = 4,978.33 × 1,472.06
  4. Step 4: Simplify right side
    3,319.65x = 7,328,390.56
  5. Step 5: Solve for x
    x = 7,328,390.56/3,319.65
  6. Step 6: Final answer
    x = 2,207.58

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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.