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Finding the Fourth Proportional to 3,210.54, 4,431.90 and 1,952

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Solution

The fourth proportional to 3,210.54, 4,431.90 and 1,952 is: 2,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.54 : 4,431.90 = 1,952 : x
  2. Step 2: Convert to fraction form
    3,210.54/4,431.90 = 1,952/x
  3. Step 3: Cross multiply
    3,210.54x = 4,431.90 × 1,952
  4. Step 4: Simplify right side
    3,210.54x = 8,651,068.80
  5. Step 5: Solve for x
    x = 8,651,068.80/3,210.54
  6. Step 6: Final answer
    x = 2,694.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.