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Finding the Fourth Proportional to 14,978.40, 20,661.02 and 8,924.60

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Solution

The fourth proportional to 14,978.40, 20,661.02 and 8,924.60 is: 12,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.40 : 20,661.02 = 8,924.60 : x
  2. Step 2: Convert to fraction form
    14,978.40/20,661.02 = 8,924.60/x
  3. Step 3: Cross multiply
    14,978.40x = 20,661.02 × 8,924.60
  4. Step 4: Simplify right side
    14,978.40x = 184,391,339.09
  5. Step 5: Solve for x
    x = 184,391,339.09/14,978.40
  6. Step 6: Final answer
    x = 12,310.48

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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.