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Finding the Fourth Proportional to 7,847.84, 11,776.08 and 4,772

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Solution

The fourth proportional to 7,847.84, 11,776.08 and 4,772 is: 7,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.84 : 11,776.08 = 4,772 : x
  2. Step 2: Convert to fraction form
    7,847.84/11,776.08 = 4,772/x
  3. Step 3: Cross multiply
    7,847.84x = 11,776.08 × 4,772
  4. Step 4: Simplify right side
    7,847.84x = 56,195,453.76
  5. Step 5: Solve for x
    x = 56,195,453.76/7,847.84
  6. Step 6: Final answer
    x = 7,160.63

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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.