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Finding the Fourth Proportional to 7,006, 10,509.06 and 1,811.56

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Solution

The fourth proportional to 7,006, 10,509.06 and 1,811.56 is: 2,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006 : 10,509.06 = 1,811.56 : x
  2. Step 2: Convert to fraction form
    7,006/10,509.06 = 1,811.56/x
  3. Step 3: Cross multiply
    7,006x = 10,509.06 × 1,811.56
  4. Step 4: Simplify right side
    7,006x = 19,037,792.73
  5. Step 5: Solve for x
    x = 19,037,792.73/7,006
  6. Step 6: Final answer
    x = 2,717.36

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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.