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Finding the Fourth Proportional to 2,978.47, 4,467.71 and 1,881.33

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Solution

The fourth proportional to 2,978.47, 4,467.71 and 1,881.33 is: 2,822.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.47 : 4,467.71 = 1,881.33 : x
  2. Step 2: Convert to fraction form
    2,978.47/4,467.71 = 1,881.33/x
  3. Step 3: Cross multiply
    2,978.47x = 4,467.71 × 1,881.33
  4. Step 4: Simplify right side
    2,978.47x = 8,405,236.85
  5. Step 5: Solve for x
    x = 8,405,236.85/2,978.47
  6. Step 6: Final answer
    x = 2,822.00

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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.