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Finding the Fourth Proportional to 12,375, 17,077.58 and 6,709.77

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Solution

The fourth proportional to 12,375, 17,077.58 and 6,709.77 is: 9,259.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375 : 17,077.58 = 6,709.77 : x
  2. Step 2: Convert to fraction form
    12,375/17,077.58 = 6,709.77/x
  3. Step 3: Cross multiply
    12,375x = 17,077.58 × 6,709.77
  4. Step 4: Simplify right side
    12,375x = 114,586,633.96
  5. Step 5: Solve for x
    x = 114,586,633.96/12,375
  6. Step 6: Final answer
    x = 9,259.53

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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.