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Finding the Fourth Proportional to 4,154, 6,231.36 and 1,076

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Solution

The fourth proportional to 4,154, 6,231.36 and 1,076 is: 1,614.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154 : 6,231.36 = 1,076 : x
  2. Step 2: Convert to fraction form
    4,154/6,231.36 = 1,076/x
  3. Step 3: Cross multiply
    4,154x = 6,231.36 × 1,076
  4. Step 4: Simplify right side
    4,154x = 6,704,943.36
  5. Step 5: Solve for x
    x = 6,704,943.36/4,154
  6. Step 6: Final answer
    x = 1,614.09

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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.