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Finding the Fourth Proportional to 3,126, 4,313.51 and 1,800.14

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Solution

The fourth proportional to 3,126, 4,313.51 and 1,800.14 is: 2,483.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126 : 4,313.51 = 1,800.14 : x
  2. Step 2: Convert to fraction form
    3,126/4,313.51 = 1,800.14/x
  3. Step 3: Cross multiply
    3,126x = 4,313.51 × 1,800.14
  4. Step 4: Simplify right side
    3,126x = 7,764,891.32
  5. Step 5: Solve for x
    x = 7,764,891.32/3,126
  6. Step 6: Final answer
    x = 2,483.97

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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.