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Finding the Fourth Proportional to 6,457, 8,910.66 and 3,513

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Solution

The fourth proportional to 6,457, 8,910.66 and 3,513 is: 4,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457 : 8,910.66 = 3,513 : x
  2. Step 2: Convert to fraction form
    6,457/8,910.66 = 3,513/x
  3. Step 3: Cross multiply
    6,457x = 8,910.66 × 3,513
  4. Step 4: Simplify right side
    6,457x = 31,303,148.58
  5. Step 5: Solve for x
    x = 31,303,148.58/6,457
  6. Step 6: Final answer
    x = 4,847.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.