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Finding the Fourth Proportional to 14,978.94, 20,664.90 and 9,671.82

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Solution

The fourth proportional to 14,978.94, 20,664.90 and 9,671.82 is: 13,343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.94 : 20,664.90 = 9,671.82 : x
  2. Step 2: Convert to fraction form
    14,978.94/20,664.90 = 9,671.82/x
  3. Step 3: Cross multiply
    14,978.94x = 20,664.90 × 9,671.82
  4. Step 4: Simplify right side
    14,978.94x = 199,867,193.12
  5. Step 5: Solve for x
    x = 199,867,193.12/14,978.94
  6. Step 6: Final answer
    x = 13,343.21

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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.