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Finding the Fourth Proportional to 3,470.78, 5,206.16 and 873.72

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Solution

The fourth proportional to 3,470.78, 5,206.16 and 873.72 is: 1,310.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.78 : 5,206.16 = 873.72 : x
  2. Step 2: Convert to fraction form
    3,470.78/5,206.16 = 873.72/x
  3. Step 3: Cross multiply
    3,470.78x = 5,206.16 × 873.72
  4. Step 4: Simplify right side
    3,470.78x = 4,548,700.08
  5. Step 5: Solve for x
    x = 4,548,700.08/3,470.78
  6. Step 6: Final answer
    x = 1,310.57

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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.