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Finding the Fourth Proportional to 3,470.85, 5,206.38 and 873.84

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Solution

The fourth proportional to 3,470.85, 5,206.38 and 873.84 is: 1,310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.85 : 5,206.38 = 873.84 : x
  2. Step 2: Convert to fraction form
    3,470.85/5,206.38 = 873.84/x
  3. Step 3: Cross multiply
    3,470.85x = 5,206.38 × 873.84
  4. Step 4: Simplify right side
    3,470.85x = 4,549,543.10
  5. Step 5: Solve for x
    x = 4,549,543.10/3,470.85
  6. Step 6: Final answer
    x = 1,310.79

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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.