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Finding the Fourth Proportional to 5,208.59, 7,811.67 and 1,745.84

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Solution

The fourth proportional to 5,208.59, 7,811.67 and 1,745.84 is: 2,618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.59 : 7,811.67 = 1,745.84 : x
  2. Step 2: Convert to fraction form
    5,208.59/7,811.67 = 1,745.84/x
  3. Step 3: Cross multiply
    5,208.59x = 7,811.67 × 1,745.84
  4. Step 4: Simplify right side
    5,208.59x = 13,637,925.95
  5. Step 5: Solve for x
    x = 13,637,925.95/5,208.59
  6. Step 6: Final answer
    x = 2,618.35

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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.