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Finding the Fourth Proportional to 6,344.37, 8,746.84 and 5,205.87

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Solution

The fourth proportional to 6,344.37, 8,746.84 and 5,205.87 is: 7,177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.37 : 8,746.84 = 5,205.87 : x
  2. Step 2: Convert to fraction form
    6,344.37/8,746.84 = 5,205.87/x
  3. Step 3: Cross multiply
    6,344.37x = 8,746.84 × 5,205.87
  4. Step 4: Simplify right side
    6,344.37x = 45,534,918.46
  5. Step 5: Solve for x
    x = 45,534,918.46/6,344.37
  6. Step 6: Final answer
    x = 7,177.22

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1.5x scale

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.