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Finding the Fourth Proportional to 13,506, 20,268 and 5,192.88

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Solution

The fourth proportional to 13,506, 20,268 and 5,192.88 is: 7,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506 : 20,268 = 5,192.88 : x
  2. Step 2: Convert to fraction form
    13,506/20,268 = 5,192.88/x
  3. Step 3: Cross multiply
    13,506x = 20,268 × 5,192.88
  4. Step 4: Simplify right side
    13,506x = 105,249,291.84
  5. Step 5: Solve for x
    x = 105,249,291.84/13,506
  6. Step 6: Final answer
    x = 7,792.78

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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.