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Finding the Fourth Proportional to 4,786.94, 7,180.86 and 1,666.46

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Solution

The fourth proportional to 4,786.94, 7,180.86 and 1,666.46 is: 2,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.94 : 7,180.86 = 1,666.46 : x
  2. Step 2: Convert to fraction form
    4,786.94/7,180.86 = 1,666.46/x
  3. Step 3: Cross multiply
    4,786.94x = 7,180.86 × 1,666.46
  4. Step 4: Simplify right side
    4,786.94x = 11,966,615.96
  5. Step 5: Solve for x
    x = 11,966,615.96/4,786.94
  6. Step 6: Final answer
    x = 2,499.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.