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Finding the Fourth Proportional to 9,872.84, 14,792.86 and 6,945

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Solution

The fourth proportional to 9,872.84, 14,792.86 and 6,945 is: 10,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.84 : 14,792.86 = 6,945 : x
  2. Step 2: Convert to fraction form
    9,872.84/14,792.86 = 6,945/x
  3. Step 3: Cross multiply
    9,872.84x = 14,792.86 × 6,945
  4. Step 4: Simplify right side
    9,872.84x = 102,736,412.70
  5. Step 5: Solve for x
    x = 102,736,412.70/9,872.84
  6. Step 6: Final answer
    x = 10,405.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.