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Finding the Fourth Proportional to 3,951.84, 5,931.33 and 2,104.50

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Solution

The fourth proportional to 3,951.84, 5,931.33 and 2,104.50 is: 3,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.84 : 5,931.33 = 2,104.50 : x
  2. Step 2: Convert to fraction form
    3,951.84/5,931.33 = 2,104.50/x
  3. Step 3: Cross multiply
    3,951.84x = 5,931.33 × 2,104.50
  4. Step 4: Simplify right side
    3,951.84x = 12,482,483.99
  5. Step 5: Solve for x
    x = 12,482,483.99/3,951.84
  6. Step 6: Final answer
    x = 3,158.65

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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.