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Finding the Fourth Proportional to 16,664.64, 25,001.64 and 4,978.32

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Solution

The fourth proportional to 16,664.64, 25,001.64 and 4,978.32 is: 7,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,664.64 : 25,001.64 = 4,978.32 : x
  2. Step 2: Convert to fraction form
    16,664.64/25,001.64 = 4,978.32/x
  3. Step 3: Cross multiply
    16,664.64x = 25,001.64 × 4,978.32
  4. Step 4: Simplify right side
    16,664.64x = 124,466,164.44
  5. Step 5: Solve for x
    x = 124,466,164.44/16,664.64
  6. Step 6: Final answer
    x = 7,468.88

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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.