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Finding the Fourth Proportional to 7,838.42, 11,748.35 and 3,446.69

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Solution

The fourth proportional to 7,838.42, 11,748.35 and 3,446.69 is: 5,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.42 : 11,748.35 = 3,446.69 : x
  2. Step 2: Convert to fraction form
    7,838.42/11,748.35 = 3,446.69/x
  3. Step 3: Cross multiply
    7,838.42x = 11,748.35 × 3,446.69
  4. Step 4: Simplify right side
    7,838.42x = 40,492,870.34
  5. Step 5: Solve for x
    x = 40,492,870.34/7,838.42
  6. Step 6: Final answer
    x = 5,165.95

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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.