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Finding the Fourth Proportional to 3,992.84, 5,510.82 and 3,047.08

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Solution

The fourth proportional to 3,992.84, 5,510.82 and 3,047.08 is: 4,205.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.84 : 5,510.82 = 3,047.08 : x
  2. Step 2: Convert to fraction form
    3,992.84/5,510.82 = 3,047.08/x
  3. Step 3: Cross multiply
    3,992.84x = 5,510.82 × 3,047.08
  4. Step 4: Simplify right side
    3,992.84x = 16,791,909.41
  5. Step 5: Solve for x
    x = 16,791,909.41/3,992.84
  6. Step 6: Final answer
    x = 4,205.51

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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.