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Finding the Fourth Proportional to 12,877.62, 17,771.49 and 7,288.50

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Solution

The fourth proportional to 12,877.62, 17,771.49 and 7,288.50 is: 10,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.62 : 17,771.49 = 7,288.50 : x
  2. Step 2: Convert to fraction form
    12,877.62/17,771.49 = 7,288.50/x
  3. Step 3: Cross multiply
    12,877.62x = 17,771.49 × 7,288.50
  4. Step 4: Simplify right side
    12,877.62x = 129,527,504.87
  5. Step 5: Solve for x
    x = 129,527,504.87/12,877.62
  6. Step 6: Final answer
    x = 10,058.34

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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.