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Finding the Fourth Proportional to 13,619.92, 20,419.02 and 12,526.48

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Solution

The fourth proportional to 13,619.92, 20,419.02 and 12,526.48 is: 18,779.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,619.92 : 20,419.02 = 12,526.48 : x
  2. Step 2: Convert to fraction form
    13,619.92/20,419.02 = 12,526.48/x
  3. Step 3: Cross multiply
    13,619.92x = 20,419.02 × 12,526.48
  4. Step 4: Simplify right side
    13,619.92x = 255,778,445.65
  5. Step 5: Solve for x
    x = 255,778,445.65/13,619.92
  6. Step 6: Final answer
    x = 18,779.73

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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.