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Finding the Fourth Proportional to 13,619.63, 20,430.70 and 5,300.27

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Solution

The fourth proportional to 13,619.63, 20,430.70 and 5,300.27 is: 7,950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,619.63 : 20,430.70 = 5,300.27 : x
  2. Step 2: Convert to fraction form
    13,619.63/20,430.70 = 5,300.27/x
  3. Step 3: Cross multiply
    13,619.63x = 20,430.70 × 5,300.27
  4. Step 4: Simplify right side
    13,619.63x = 108,288,226.29
  5. Step 5: Solve for x
    x = 108,288,226.29/13,619.63
  6. Step 6: Final answer
    x = 7,950.89

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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.