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Finding the Fourth Proportional to 14,978.89, 20,664.32 and 9,867.80

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Solution

The fourth proportional to 14,978.89, 20,664.32 and 9,867.80 is: 13,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.89 : 20,664.32 = 9,867.80 : x
  2. Step 2: Convert to fraction form
    14,978.89/20,664.32 = 9,867.80/x
  3. Step 3: Cross multiply
    14,978.89x = 20,664.32 × 9,867.80
  4. Step 4: Simplify right side
    14,978.89x = 203,911,379.22
  5. Step 5: Solve for x
    x = 203,911,379.22/14,978.89
  6. Step 6: Final answer
    x = 13,613.25

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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.