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Finding the Fourth Proportional to 2,978.34, 4,468.00 and 1,222.88

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Solution

The fourth proportional to 2,978.34, 4,468.00 and 1,222.88 is: 1,834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.34 : 4,468.00 = 1,222.88 : x
  2. Step 2: Convert to fraction form
    2,978.34/4,468.00 = 1,222.88/x
  3. Step 3: Cross multiply
    2,978.34x = 4,468.00 × 1,222.88
  4. Step 4: Simplify right side
    2,978.34x = 5,463,802.44
  5. Step 5: Solve for x
    x = 5,463,802.44/2,978.34
  6. Step 6: Final answer
    x = 1,834.51

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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.