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Finding the Fourth Proportional to 7,749, 11,621.16 and 2,553.84

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Solution

The fourth proportional to 7,749, 11,621.16 and 2,553.84 is: 3,829.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749 : 11,621.16 = 2,553.84 : x
  2. Step 2: Convert to fraction form
    7,749/11,621.16 = 2,553.84/x
  3. Step 3: Cross multiply
    7,749x = 11,621.16 × 2,553.84
  4. Step 4: Simplify right side
    7,749x = 29,678,583.25
  5. Step 5: Solve for x
    x = 29,678,583.25/7,749
  6. Step 6: Final answer
    x = 3,829.99

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1.5x scale

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.