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Finding the Fourth Proportional to 2,998.64, 4,498.23 and 1,536.86

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Solution

The fourth proportional to 2,998.64, 4,498.23 and 1,536.86 is: 2,305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.64 : 4,498.23 = 1,536.86 : x
  2. Step 2: Convert to fraction form
    2,998.64/4,498.23 = 1,536.86/x
  3. Step 3: Cross multiply
    2,998.64x = 4,498.23 × 1,536.86
  4. Step 4: Simplify right side
    2,998.64x = 6,913,149.76
  5. Step 5: Solve for x
    x = 6,913,149.76/2,998.64
  6. Step 6: Final answer
    x = 2,305.43

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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.