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Finding the Fourth Proportional to 6,457, 8,906.50 and 3,973.16

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Solution

The fourth proportional to 6,457, 8,906.50 and 3,973.16 is: 5,480.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457 : 8,906.50 = 3,973.16 : x
  2. Step 2: Convert to fraction form
    6,457/8,906.50 = 3,973.16/x
  3. Step 3: Cross multiply
    6,457x = 8,906.50 × 3,973.16
  4. Step 4: Simplify right side
    6,457x = 35,386,949.54
  5. Step 5: Solve for x
    x = 35,386,949.54/6,457
  6. Step 6: Final answer
    x = 5,480.40

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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.