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Finding the Fourth Proportional to 12,858, 17,745.12 and 8,140.56

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Solution

The fourth proportional to 12,858, 17,745.12 and 8,140.56 is: 11,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858 : 17,745.12 = 8,140.56 : x
  2. Step 2: Convert to fraction form
    12,858/17,745.12 = 8,140.56/x
  3. Step 3: Cross multiply
    12,858x = 17,745.12 × 8,140.56
  4. Step 4: Simplify right side
    12,858x = 144,455,214.07
  5. Step 5: Solve for x
    x = 144,455,214.07/12,858
  6. Step 6: Final answer
    x = 11,234.66

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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.