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Finding the Fourth Proportional to 6,457.92, 9,682.98 and 2,899.39

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Solution

The fourth proportional to 6,457.92, 9,682.98 and 2,899.39 is: 4,347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.92 : 9,682.98 = 2,899.39 : x
  2. Step 2: Convert to fraction form
    6,457.92/9,682.98 = 2,899.39/x
  3. Step 3: Cross multiply
    6,457.92x = 9,682.98 × 2,899.39
  4. Step 4: Simplify right side
    6,457.92x = 28,074,735.38
  5. Step 5: Solve for x
    x = 28,074,735.38/6,457.92
  6. Step 6: Final answer
    x = 4,347.33

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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.