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Finding the Fourth Proportional to 2,978.65, 4,467.97 and 1,030.85

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Solution

The fourth proportional to 2,978.65, 4,467.97 and 1,030.85 is: 1,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.65 : 4,467.97 = 1,030.85 : x
  2. Step 2: Convert to fraction form
    2,978.65/4,467.97 = 1,030.85/x
  3. Step 3: Cross multiply
    2,978.65x = 4,467.97 × 1,030.85
  4. Step 4: Simplify right side
    2,978.65x = 4,605,816.59
  5. Step 5: Solve for x
    x = 4,605,816.59/2,978.65
  6. Step 6: Final answer
    x = 1,546.28

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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.