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Finding the Fourth Proportional to 5,223.92, 7,835.92 and 1,328.32

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Solution

The fourth proportional to 5,223.92, 7,835.92 and 1,328.32 is: 1,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.92 : 7,835.92 = 1,328.32 : x
  2. Step 2: Convert to fraction form
    5,223.92/7,835.92 = 1,328.32/x
  3. Step 3: Cross multiply
    5,223.92x = 7,835.92 × 1,328.32
  4. Step 4: Simplify right side
    5,223.92x = 10,408,609.25
  5. Step 5: Solve for x
    x = 10,408,609.25/5,223.92
  6. Step 6: Final answer
    x = 1,992.49

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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.