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Finding the Fourth Proportional to 6,489.51, 9,732.48 and 2,790.93

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Solution

The fourth proportional to 6,489.51, 9,732.48 and 2,790.93 is: 4,185.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.51 : 9,732.48 = 2,790.93 : x
  2. Step 2: Convert to fraction form
    6,489.51/9,732.48 = 2,790.93/x
  3. Step 3: Cross multiply
    6,489.51x = 9,732.48 × 2,790.93
  4. Step 4: Simplify right side
    6,489.51x = 27,162,670.41
  5. Step 5: Solve for x
    x = 27,162,670.41/6,489.51
  6. Step 6: Final answer
    x = 4,185.63

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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.