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Finding the Fourth Proportional to 10,772, 14,857.60 and 7,591.84

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Solution

The fourth proportional to 10,772, 14,857.60 and 7,591.84 is: 10,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772 : 14,857.60 = 7,591.84 : x
  2. Step 2: Convert to fraction form
    10,772/14,857.60 = 7,591.84/x
  3. Step 3: Cross multiply
    10,772x = 14,857.60 × 7,591.84
  4. Step 4: Simplify right side
    10,772x = 112,796,521.98
  5. Step 5: Solve for x
    x = 112,796,521.98/10,772
  6. Step 6: Final answer
    x = 10,471.27

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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.