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Finding the Fourth Proportional to 12,447.68, 17,178 and 6,858.72

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Solution

The fourth proportional to 12,447.68, 17,178 and 6,858.72 is: 9,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.68 : 17,178 = 6,858.72 : x
  2. Step 2: Convert to fraction form
    12,447.68/17,178 = 6,858.72/x
  3. Step 3: Cross multiply
    12,447.68x = 17,178 × 6,858.72
  4. Step 4: Simplify right side
    12,447.68x = 117,819,092.16
  5. Step 5: Solve for x
    x = 117,819,092.16/12,447.68
  6. Step 6: Final answer
    x = 9,465.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.