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Finding the Fourth Proportional to 6,713.16, 9,262.86 and 3,918.12

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Solution

The fourth proportional to 6,713.16, 9,262.86 and 3,918.12 is: 5,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.16 : 9,262.86 = 3,918.12 : x
  2. Step 2: Convert to fraction form
    6,713.16/9,262.86 = 3,918.12/x
  3. Step 3: Cross multiply
    6,713.16x = 9,262.86 × 3,918.12
  4. Step 4: Simplify right side
    6,713.16x = 36,292,997.02
  5. Step 5: Solve for x
    x = 36,292,997.02/6,713.16
  6. Step 6: Final answer
    x = 5,406.25

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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.