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Finding the Fourth Proportional to 12,852.38, 17,731.07 and 8,374.50

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Solution

The fourth proportional to 12,852.38, 17,731.07 and 8,374.50 is: 11,553.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.38 : 17,731.07 = 8,374.50 : x
  2. Step 2: Convert to fraction form
    12,852.38/17,731.07 = 8,374.50/x
  3. Step 3: Cross multiply
    12,852.38x = 17,731.07 × 8,374.50
  4. Step 4: Simplify right side
    12,852.38x = 148,488,835.25
  5. Step 5: Solve for x
    x = 148,488,835.25/12,852.38
  6. Step 6: Final answer
    x = 11,553.41

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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.