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Finding the Fourth Proportional to 6,478.45, 8,887.73 and 6,164.71

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Solution

The fourth proportional to 6,478.45, 8,887.73 and 6,164.71 is: 8,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.45 : 8,887.73 = 6,164.71 : x
  2. Step 2: Convert to fraction form
    6,478.45/8,887.73 = 6,164.71/x
  3. Step 3: Cross multiply
    6,478.45x = 8,887.73 × 6,164.71
  4. Step 4: Simplify right side
    6,478.45x = 54,790,224.97
  5. Step 5: Solve for x
    x = 54,790,224.97/6,478.45
  6. Step 6: Final answer
    x = 8,457.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.