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Finding the Fourth Proportional to 13,842.64, 20,751.16 and 5,520.63

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Solution

The fourth proportional to 13,842.64, 20,751.16 and 5,520.63 is: 8,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.64 : 20,751.16 = 5,520.63 : x
  2. Step 2: Convert to fraction form
    13,842.64/20,751.16 = 5,520.63/x
  3. Step 3: Cross multiply
    13,842.64x = 20,751.16 × 5,520.63
  4. Step 4: Simplify right side
    13,842.64x = 114,559,345.07
  5. Step 5: Solve for x
    x = 114,559,345.07/13,842.64
  6. Step 6: Final answer
    x = 8,275.83

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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.