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Finding the Fourth Proportional to 7,381.68, 10,188 and 4,239.84

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Solution

The fourth proportional to 7,381.68, 10,188 and 4,239.84 is: 5,851.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.68 : 10,188 = 4,239.84 : x
  2. Step 2: Convert to fraction form
    7,381.68/10,188 = 4,239.84/x
  3. Step 3: Cross multiply
    7,381.68x = 10,188 × 4,239.84
  4. Step 4: Simplify right side
    7,381.68x = 43,195,489.92
  5. Step 5: Solve for x
    x = 43,195,489.92/7,381.68
  6. Step 6: Final answer
    x = 5,851.72

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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.