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Finding the Fourth Proportional to 5,223.93, 7,835.91 and 1,328.34

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Solution

The fourth proportional to 5,223.93, 7,835.91 and 1,328.34 is: 1,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.93 : 7,835.91 = 1,328.34 : x
  2. Step 2: Convert to fraction form
    5,223.93/7,835.91 = 1,328.34/x
  3. Step 3: Cross multiply
    5,223.93x = 7,835.91 × 1,328.34
  4. Step 4: Simplify right side
    5,223.93x = 10,408,752.69
  5. Step 5: Solve for x
    x = 10,408,752.69/5,223.93
  6. Step 6: Final answer
    x = 1,992.51

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Similar ratio
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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.