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Finding the Fourth Proportional to 12,878.42, 17,771.02 and 7,289.42

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Solution

The fourth proportional to 12,878.42, 17,771.02 and 7,289.42 is: 10,058.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.42 : 17,771.02 = 7,289.42 : x
  2. Step 2: Convert to fraction form
    12,878.42/17,771.02 = 7,289.42/x
  3. Step 3: Cross multiply
    12,878.42x = 17,771.02 × 7,289.42
  4. Step 4: Simplify right side
    12,878.42x = 129,540,321.53
  5. Step 5: Solve for x
    x = 129,540,321.53/12,878.42
  6. Step 6: Final answer
    x = 10,058.72

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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.