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Finding the Fourth Proportional to 13,689.63, 20,534.45 and 4,811.93

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Solution

The fourth proportional to 13,689.63, 20,534.45 and 4,811.93 is: 7,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.63 : 20,534.45 = 4,811.93 : x
  2. Step 2: Convert to fraction form
    13,689.63/20,534.45 = 4,811.93/x
  3. Step 3: Cross multiply
    13,689.63x = 20,534.45 × 4,811.93
  4. Step 4: Simplify right side
    13,689.63x = 98,810,335.99
  5. Step 5: Solve for x
    x = 98,810,335.99/13,689.63
  6. Step 6: Final answer
    x = 7,217.90

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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.