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Finding the Fourth Proportional to 12,877.67, 17,769.71 and 7,211.63

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Solution

The fourth proportional to 12,877.67, 17,769.71 and 7,211.63 is: 9,951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.67 : 17,769.71 = 7,211.63 : x
  2. Step 2: Convert to fraction form
    12,877.67/17,769.71 = 7,211.63/x
  3. Step 3: Cross multiply
    12,877.67x = 17,769.71 × 7,211.63
  4. Step 4: Simplify right side
    12,877.67x = 128,148,573.73
  5. Step 5: Solve for x
    x = 128,148,573.73/12,877.67
  6. Step 6: Final answer
    x = 9,951.22

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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.