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Finding the Fourth Proportional to 1,885.72, 2,824.98 and 1,579.54

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Solution

The fourth proportional to 1,885.72, 2,824.98 and 1,579.54 is: 2,366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.72 : 2,824.98 = 1,579.54 : x
  2. Step 2: Convert to fraction form
    1,885.72/2,824.98 = 1,579.54/x
  3. Step 3: Cross multiply
    1,885.72x = 2,824.98 × 1,579.54
  4. Step 4: Simplify right side
    1,885.72x = 4,462,168.91
  5. Step 5: Solve for x
    x = 4,462,168.91/1,885.72
  6. Step 6: Final answer
    x = 2,366.29

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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.