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Finding the Fourth Proportional to 4,978.66, 7,467.90 and 4,203.64

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Solution

The fourth proportional to 4,978.66, 7,467.90 and 4,203.64 is: 6,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.66 : 7,467.90 = 4,203.64 : x
  2. Step 2: Convert to fraction form
    4,978.66/7,467.90 = 4,203.64/x
  3. Step 3: Cross multiply
    4,978.66x = 7,467.90 × 4,203.64
  4. Step 4: Simplify right side
    4,978.66x = 31,392,363.16
  5. Step 5: Solve for x
    x = 31,392,363.16/4,978.66
  6. Step 6: Final answer
    x = 6,305.38

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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.