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Finding the Fourth Proportional to 3,486.56, 4,800.92 and 3,013.61

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Solution

The fourth proportional to 3,486.56, 4,800.92 and 3,013.61 is: 4,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.56 : 4,800.92 = 3,013.61 : x
  2. Step 2: Convert to fraction form
    3,486.56/4,800.92 = 3,013.61/x
  3. Step 3: Cross multiply
    3,486.56x = 4,800.92 × 3,013.61
  4. Step 4: Simplify right side
    3,486.56x = 14,468,061.45
  5. Step 5: Solve for x
    x = 14,468,061.45/3,486.56
  6. Step 6: Final answer
    x = 4,149.67

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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.