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Finding the Fourth Proportional to 13,867.86, 20,779.86 and 11,258.04

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Solution

The fourth proportional to 13,867.86, 20,779.86 and 11,258.04 is: 16,869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867.86 : 20,779.86 = 11,258.04 : x
  2. Step 2: Convert to fraction form
    13,867.86/20,779.86 = 11,258.04/x
  3. Step 3: Cross multiply
    13,867.86x = 20,779.86 × 11,258.04
  4. Step 4: Simplify right side
    13,867.86x = 233,940,495.07
  5. Step 5: Solve for x
    x = 233,940,495.07/13,867.86
  6. Step 6: Final answer
    x = 16,869.26

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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.