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Finding the Fourth Proportional to 12,878.25, 17,772.54 and 7,289.25

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Solution

The fourth proportional to 12,878.25, 17,772.54 and 7,289.25 is: 10,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.25 : 17,772.54 = 7,289.25 : x
  2. Step 2: Convert to fraction form
    12,878.25/17,772.54 = 7,289.25/x
  3. Step 3: Cross multiply
    12,878.25x = 17,772.54 × 7,289.25
  4. Step 4: Simplify right side
    12,878.25x = 129,548,487.20
  5. Step 5: Solve for x
    x = 129,548,487.20/12,878.25
  6. Step 6: Final answer
    x = 10,059.48

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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.