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Finding the Fourth Proportional to 7,812, 11,719.92 and 2,340

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Solution

The fourth proportional to 7,812, 11,719.92 and 2,340 is: 3,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812 : 11,719.92 = 2,340 : x
  2. Step 2: Convert to fraction form
    7,812/11,719.92 = 2,340/x
  3. Step 3: Cross multiply
    7,812x = 11,719.92 × 2,340
  4. Step 4: Simplify right side
    7,812x = 27,424,612.80
  5. Step 5: Solve for x
    x = 27,424,612.80/7,812
  6. Step 6: Final answer
    x = 3,510.58

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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.