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Finding the Fourth Proportional to 2,810.96, 4,210.10 and 1,639.21

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Solution

The fourth proportional to 2,810.96, 4,210.10 and 1,639.21 is: 2,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.96 : 4,210.10 = 1,639.21 : x
  2. Step 2: Convert to fraction form
    2,810.96/4,210.10 = 1,639.21/x
  3. Step 3: Cross multiply
    2,810.96x = 4,210.10 × 1,639.21
  4. Step 4: Simplify right side
    2,810.96x = 6,901,245.72
  5. Step 5: Solve for x
    x = 6,901,245.72/2,810.96
  6. Step 6: Final answer
    x = 2,455.12

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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.