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Finding the Fourth Proportional to 6,650.87, 9,178.43 and 3,666.80

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Solution

The fourth proportional to 6,650.87, 9,178.43 and 3,666.80 is: 5,060.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.87 : 9,178.43 = 3,666.80 : x
  2. Step 2: Convert to fraction form
    6,650.87/9,178.43 = 3,666.80/x
  3. Step 3: Cross multiply
    6,650.87x = 9,178.43 × 3,666.80
  4. Step 4: Simplify right side
    6,650.87x = 33,655,471.74
  5. Step 5: Solve for x
    x = 33,655,471.74/6,650.87
  6. Step 6: Final answer
    x = 5,060.31

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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.