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Finding the Fourth Proportional to 11,418.88, 15,758.66 and 6,941.90

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Solution

The fourth proportional to 11,418.88, 15,758.66 and 6,941.90 is: 9,580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418.88 : 15,758.66 = 6,941.90 : x
  2. Step 2: Convert to fraction form
    11,418.88/15,758.66 = 6,941.90/x
  3. Step 3: Cross multiply
    11,418.88x = 15,758.66 × 6,941.90
  4. Step 4: Simplify right side
    11,418.88x = 109,395,041.85
  5. Step 5: Solve for x
    x = 109,395,041.85/11,418.88
  6. Step 6: Final answer
    x = 9,580.19

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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.