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Finding the Fourth Proportional to 11,376, 15,699.04 and 6,960

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Solution

The fourth proportional to 11,376, 15,699.04 and 6,960 is: 9,604.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376 : 15,699.04 = 6,960 : x
  2. Step 2: Convert to fraction form
    11,376/15,699.04 = 6,960/x
  3. Step 3: Cross multiply
    11,376x = 15,699.04 × 6,960
  4. Step 4: Simplify right side
    11,376x = 109,265,318.40
  5. Step 5: Solve for x
    x = 109,265,318.40/11,376
  6. Step 6: Final answer
    x = 9,604.90

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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.