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Finding the Fourth Proportional to 7,536.63, 11,305.49 and 1,989.92

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Solution

The fourth proportional to 7,536.63, 11,305.49 and 1,989.92 is: 2,985.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.63 : 11,305.49 = 1,989.92 : x
  2. Step 2: Convert to fraction form
    7,536.63/11,305.49 = 1,989.92/x
  3. Step 3: Cross multiply
    7,536.63x = 11,305.49 × 1,989.92
  4. Step 4: Simplify right side
    7,536.63x = 22,497,050.17
  5. Step 5: Solve for x
    x = 22,497,050.17/7,536.63
  6. Step 6: Final answer
    x = 2,985.03

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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.