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Finding the Fourth Proportional to 7,057.71, 9,738.77 and 3,914.51

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Solution

The fourth proportional to 7,057.71, 9,738.77 and 3,914.51 is: 5,401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.71 : 9,738.77 = 3,914.51 : x
  2. Step 2: Convert to fraction form
    7,057.71/9,738.77 = 3,914.51/x
  3. Step 3: Cross multiply
    7,057.71x = 9,738.77 × 3,914.51
  4. Step 4: Simplify right side
    7,057.71x = 38,122,444.29
  5. Step 5: Solve for x
    x = 38,122,444.29/7,057.71
  6. Step 6: Final answer
    x = 5,401.53

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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.