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Finding the Fourth Proportional to 5,786.94, 7,986.05 and 3,428.63

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Solution

The fourth proportional to 5,786.94, 7,986.05 and 3,428.63 is: 4,731.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.94 : 7,986.05 = 3,428.63 : x
  2. Step 2: Convert to fraction form
    5,786.94/7,986.05 = 3,428.63/x
  3. Step 3: Cross multiply
    5,786.94x = 7,986.05 × 3,428.63
  4. Step 4: Simplify right side
    5,786.94x = 27,381,210.61
  5. Step 5: Solve for x
    x = 27,381,210.61/5,786.94
  6. Step 6: Final answer
    x = 4,731.55

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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.