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Finding the Fourth Proportional to 6,747.84, 9,313.32 and 3,953.28

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Solution

The fourth proportional to 6,747.84, 9,313.32 and 3,953.28 is: 5,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747.84 : 9,313.32 = 3,953.28 : x
  2. Step 2: Convert to fraction form
    6,747.84/9,313.32 = 3,953.28/x
  3. Step 3: Cross multiply
    6,747.84x = 9,313.32 × 3,953.28
  4. Step 4: Simplify right side
    6,747.84x = 36,818,161.69
  5. Step 5: Solve for x
    x = 36,818,161.69/6,747.84
  6. Step 6: Final answer
    x = 5,456.29

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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.