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Finding the Fourth Proportional to 5,757.68, 7,945.80 and 3,661.76

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Solution

The fourth proportional to 5,757.68, 7,945.80 and 3,661.76 is: 5,053.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.68 : 7,945.80 = 3,661.76 : x
  2. Step 2: Convert to fraction form
    5,757.68/7,945.80 = 3,661.76/x
  3. Step 3: Cross multiply
    5,757.68x = 7,945.80 × 3,661.76
  4. Step 4: Simplify right side
    5,757.68x = 29,095,612.61
  5. Step 5: Solve for x
    x = 29,095,612.61/5,757.68
  6. Step 6: Final answer
    x = 5,053.36

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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.