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Finding the Fourth Proportional to 11,902.70, 17,856.56 and 4,507

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Solution

The fourth proportional to 11,902.70, 17,856.56 and 4,507 is: 6,761.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.70 : 17,856.56 = 4,507 : x
  2. Step 2: Convert to fraction form
    11,902.70/17,856.56 = 4,507/x
  3. Step 3: Cross multiply
    11,902.70x = 17,856.56 × 4,507
  4. Step 4: Simplify right side
    11,902.70x = 80,479,515.92
  5. Step 5: Solve for x
    x = 80,479,515.92/11,902.70
  6. Step 6: Final answer
    x = 6,761.45

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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.