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Finding the Fourth Proportional to 2,892.60, 3,991.80 and 1,633.72

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Solution

The fourth proportional to 2,892.60, 3,991.80 and 1,633.72 is: 2,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.60 : 3,991.80 = 1,633.72 : x
  2. Step 2: Convert to fraction form
    2,892.60/3,991.80 = 1,633.72/x
  3. Step 3: Cross multiply
    2,892.60x = 3,991.80 × 1,633.72
  4. Step 4: Simplify right side
    2,892.60x = 6,521,483.50
  5. Step 5: Solve for x
    x = 6,521,483.50/2,892.60
  6. Step 6: Final answer
    x = 2,254.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.