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Finding the Fourth Proportional to 5,206.84, 7,813.50 and 3,798.79

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Solution

The fourth proportional to 5,206.84, 7,813.50 and 3,798.79 is: 5,700.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.84 : 7,813.50 = 3,798.79 : x
  2. Step 2: Convert to fraction form
    5,206.84/7,813.50 = 3,798.79/x
  3. Step 3: Cross multiply
    5,206.84x = 7,813.50 × 3,798.79
  4. Step 4: Simplify right side
    5,206.84x = 29,681,845.67
  5. Step 5: Solve for x
    x = 29,681,845.67/5,206.84
  6. Step 6: Final answer
    x = 5,700.55

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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.