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Finding the Fourth Proportional to 5,009.42, 6,906.70 and 3,213.72

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Solution

The fourth proportional to 5,009.42, 6,906.70 and 3,213.72 is: 4,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.42 : 6,906.70 = 3,213.72 : x
  2. Step 2: Convert to fraction form
    5,009.42/6,906.70 = 3,213.72/x
  3. Step 3: Cross multiply
    5,009.42x = 6,906.70 × 3,213.72
  4. Step 4: Simplify right side
    5,009.42x = 22,196,199.92
  5. Step 5: Solve for x
    x = 22,196,199.92/5,009.42
  6. Step 6: Final answer
    x = 4,430.89

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1.5x scale

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.