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Finding the Fourth Proportional to 12,878.25, 17,771.10 and 7,212.03

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Solution

The fourth proportional to 12,878.25, 17,771.10 and 7,212.03 is: 9,952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.25 : 17,771.10 = 7,212.03 : x
  2. Step 2: Convert to fraction form
    12,878.25/17,771.10 = 7,212.03/x
  3. Step 3: Cross multiply
    12,878.25x = 17,771.10 × 7,212.03
  4. Step 4: Simplify right side
    12,878.25x = 128,165,706.33
  5. Step 5: Solve for x
    x = 128,165,706.33/12,878.25
  6. Step 6: Final answer
    x = 9,952.11

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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.