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Finding the Fourth Proportional to 13,646.14, 20,460.13 and 5,326.92

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Solution

The fourth proportional to 13,646.14, 20,460.13 and 5,326.92 is: 7,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.14 : 20,460.13 = 5,326.92 : x
  2. Step 2: Convert to fraction form
    13,646.14/20,460.13 = 5,326.92/x
  3. Step 3: Cross multiply
    13,646.14x = 20,460.13 × 5,326.92
  4. Step 4: Simplify right side
    13,646.14x = 108,989,462.38
  5. Step 5: Solve for x
    x = 108,989,462.38/13,646.14
  6. Step 6: Final answer
    x = 7,986.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.