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Finding the Fourth Proportional to 2,978.34, 4,469.54 and 1,030.54

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Solution

The fourth proportional to 2,978.34, 4,469.54 and 1,030.54 is: 1,546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.34 : 4,469.54 = 1,030.54 : x
  2. Step 2: Convert to fraction form
    2,978.34/4,469.54 = 1,030.54/x
  3. Step 3: Cross multiply
    2,978.34x = 4,469.54 × 1,030.54
  4. Step 4: Simplify right side
    2,978.34x = 4,606,039.75
  5. Step 5: Solve for x
    x = 4,606,039.75/2,978.34
  6. Step 6: Final answer
    x = 1,546.51

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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.