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Finding the Fourth Proportional to 6,489, 9,733.68 and 1,872

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Solution

The fourth proportional to 6,489, 9,733.68 and 1,872 is: 2,808.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489 : 9,733.68 = 1,872 : x
  2. Step 2: Convert to fraction form
    6,489/9,733.68 = 1,872/x
  3. Step 3: Cross multiply
    6,489x = 9,733.68 × 1,872
  4. Step 4: Simplify right side
    6,489x = 18,221,448.96
  5. Step 5: Solve for x
    x = 18,221,448.96/6,489
  6. Step 6: Final answer
    x = 2,808.05

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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.