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Finding the Fourth Proportional to 12,893.82, 17,794.55 and 7,228.47

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Solution

The fourth proportional to 12,893.82, 17,794.55 and 7,228.47 is: 9,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,893.82 : 17,794.55 = 7,228.47 : x
  2. Step 2: Convert to fraction form
    12,893.82/17,794.55 = 7,228.47/x
  3. Step 3: Cross multiply
    12,893.82x = 17,794.55 × 7,228.47
  4. Step 4: Simplify right side
    12,893.82x = 128,627,370.84
  5. Step 5: Solve for x
    x = 128,627,370.84/12,893.82
  6. Step 6: Final answer
    x = 9,975.89

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1.5x scale

Why These Related Problems?

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