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Finding the Fourth Proportional to 14,978.44, 20,664.21 and 9,671.32

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Solution

The fourth proportional to 14,978.44, 20,664.21 and 9,671.32 is: 13,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.44 : 20,664.21 = 9,671.32 : x
  2. Step 2: Convert to fraction form
    14,978.44/20,664.21 = 9,671.32/x
  3. Step 3: Cross multiply
    14,978.44x = 20,664.21 × 9,671.32
  4. Step 4: Simplify right side
    14,978.44x = 199,850,187.46
  5. Step 5: Solve for x
    x = 199,850,187.46/14,978.44
  6. Step 6: Final answer
    x = 13,342.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.