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Finding the Fourth Proportional to 6,346.72, 9,503.68 and 4,378.42

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Solution

The fourth proportional to 6,346.72, 9,503.68 and 4,378.42 is: 6,556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.72 : 9,503.68 = 4,378.42 : x
  2. Step 2: Convert to fraction form
    6,346.72/9,503.68 = 4,378.42/x
  3. Step 3: Cross multiply
    6,346.72x = 9,503.68 × 4,378.42
  4. Step 4: Simplify right side
    6,346.72x = 41,611,102.59
  5. Step 5: Solve for x
    x = 41,611,102.59/6,346.72
  6. Step 6: Final answer
    x = 6,556.32

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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.