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Finding the Fourth Proportional to 6,816, 9,406.16 and 4,127.17

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Solution

The fourth proportional to 6,816, 9,406.16 and 4,127.17 is: 5,695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816 : 9,406.16 = 4,127.17 : x
  2. Step 2: Convert to fraction form
    6,816/9,406.16 = 4,127.17/x
  3. Step 3: Cross multiply
    6,816x = 9,406.16 × 4,127.17
  4. Step 4: Simplify right side
    6,816x = 38,820,821.37
  5. Step 5: Solve for x
    x = 38,820,821.37/6,816
  6. Step 6: Final answer
    x = 5,695.54

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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.