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Finding the Fourth Proportional to 5,213.79, 7,823.93 and 2,135.79

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Solution

The fourth proportional to 5,213.79, 7,823.93 and 2,135.79 is: 3,205.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.79 : 7,823.93 = 2,135.79 : x
  2. Step 2: Convert to fraction form
    5,213.79/7,823.93 = 2,135.79/x
  3. Step 3: Cross multiply
    5,213.79x = 7,823.93 × 2,135.79
  4. Step 4: Simplify right side
    5,213.79x = 16,710,260.78
  5. Step 5: Solve for x
    x = 16,710,260.78/5,213.79
  6. Step 6: Final answer
    x = 3,205.01

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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.