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Finding the Fourth Proportional to 7,894.32, 11,839.64 and 3,213.06

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Solution

The fourth proportional to 7,894.32, 11,839.64 and 3,213.06 is: 4,818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.32 : 11,839.64 = 3,213.06 : x
  2. Step 2: Convert to fraction form
    7,894.32/11,839.64 = 3,213.06/x
  3. Step 3: Cross multiply
    7,894.32x = 11,839.64 × 3,213.06
  4. Step 4: Simplify right side
    7,894.32x = 38,041,457.63
  5. Step 5: Solve for x
    x = 38,041,457.63/7,894.32
  6. Step 6: Final answer
    x = 4,818.84

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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.