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Finding the Fourth Proportional to 1,682.10, 2,319 and 1,639.98

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Solution

The fourth proportional to 1,682.10, 2,319 and 1,639.98 is: 2,260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.10 : 2,319 = 1,639.98 : x
  2. Step 2: Convert to fraction form
    1,682.10/2,319 = 1,639.98/x
  3. Step 3: Cross multiply
    1,682.10x = 2,319 × 1,639.98
  4. Step 4: Simplify right side
    1,682.10x = 3,803,113.62
  5. Step 5: Solve for x
    x = 3,803,113.62/1,682.10
  6. Step 6: Final answer
    x = 2,260.93

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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.