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Finding the Fourth Proportional to 12,945, 17,860.06 and 7,278.85

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Solution

The fourth proportional to 12,945, 17,860.06 and 7,278.85 is: 10,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,945 : 17,860.06 = 7,278.85 : x
  2. Step 2: Convert to fraction form
    12,945/17,860.06 = 7,278.85/x
  3. Step 3: Cross multiply
    12,945x = 17,860.06 × 7,278.85
  4. Step 4: Simplify right side
    12,945x = 130,000,697.73
  5. Step 5: Solve for x
    x = 130,000,697.73/12,945
  6. Step 6: Final answer
    x = 10,042.54

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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.