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Finding the Fourth Proportional to 7,006.32, 10,509.12 and 1,812

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Solution

The fourth proportional to 7,006.32, 10,509.12 and 1,812 is: 2,717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.32 : 10,509.12 = 1,812 : x
  2. Step 2: Convert to fraction form
    7,006.32/10,509.12 = 1,812/x
  3. Step 3: Cross multiply
    7,006.32x = 10,509.12 × 1,812
  4. Step 4: Simplify right side
    7,006.32x = 19,042,525.44
  5. Step 5: Solve for x
    x = 19,042,525.44/7,006.32
  6. Step 6: Final answer
    x = 2,717.91

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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.