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Finding the Fourth Proportional to 3,470.02, 5,206.74 and 1,620.87

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Solution

The fourth proportional to 3,470.02, 5,206.74 and 1,620.87 is: 2,432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.02 : 5,206.74 = 1,620.87 : x
  2. Step 2: Convert to fraction form
    3,470.02/5,206.74 = 1,620.87/x
  3. Step 3: Cross multiply
    3,470.02x = 5,206.74 × 1,620.87
  4. Step 4: Simplify right side
    3,470.02x = 8,439,431.59
  5. Step 5: Solve for x
    x = 8,439,431.59/3,470.02
  6. Step 6: Final answer
    x = 2,432.10

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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.