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Finding the Fourth Proportional to 7,664, 11,501.12 and 2,800

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Solution

The fourth proportional to 7,664, 11,501.12 and 2,800 is: 4,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664 : 11,501.12 = 2,800 : x
  2. Step 2: Convert to fraction form
    7,664/11,501.12 = 2,800/x
  3. Step 3: Cross multiply
    7,664x = 11,501.12 × 2,800
  4. Step 4: Simplify right side
    7,664x = 32,203,136.00
  5. Step 5: Solve for x
    x = 32,203,136.00/7,664
  6. Step 6: Final answer
    x = 4,201.87

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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.