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Finding the Fourth Proportional to 5,717.84, 7,890.64 and 3,200.08

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Solution

The fourth proportional to 5,717.84, 7,890.64 and 3,200.08 is: 4,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.84 : 7,890.64 = 3,200.08 : x
  2. Step 2: Convert to fraction form
    5,717.84/7,890.64 = 3,200.08/x
  3. Step 3: Cross multiply
    5,717.84x = 7,890.64 × 3,200.08
  4. Step 4: Simplify right side
    5,717.84x = 25,250,679.25
  5. Step 5: Solve for x
    x = 25,250,679.25/5,717.84
  6. Step 6: Final answer
    x = 4,416.12

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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.