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Finding the Fourth Proportional to 12,854.25, 19,284 and 5,458.68

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Solution

The fourth proportional to 12,854.25, 19,284 and 5,458.68 is: 8,189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.25 : 19,284 = 5,458.68 : x
  2. Step 2: Convert to fraction form
    12,854.25/19,284 = 5,458.68/x
  3. Step 3: Cross multiply
    12,854.25x = 19,284 × 5,458.68
  4. Step 4: Simplify right side
    12,854.25x = 105,265,185.12
  5. Step 5: Solve for x
    x = 105,265,185.12/12,854.25
  6. Step 6: Final answer
    x = 8,189.13

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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.