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Finding the Fourth Proportional to 3,208.50, 4,812.76 and 1,156.50

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Solution

The fourth proportional to 3,208.50, 4,812.76 and 1,156.50 is: 1,734.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.50 : 4,812.76 = 1,156.50 : x
  2. Step 2: Convert to fraction form
    3,208.50/4,812.76 = 1,156.50/x
  3. Step 3: Cross multiply
    3,208.50x = 4,812.76 × 1,156.50
  4. Step 4: Simplify right side
    3,208.50x = 5,565,956.94
  5. Step 5: Solve for x
    x = 5,565,956.94/3,208.50
  6. Step 6: Final answer
    x = 1,734.75

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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.