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Finding the Fourth Proportional to 2,808.40, 3,874.87 and 1,812.50

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Solution

The fourth proportional to 2,808.40, 3,874.87 and 1,812.50 is: 2,500.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.40 : 3,874.87 = 1,812.50 : x
  2. Step 2: Convert to fraction form
    2,808.40/3,874.87 = 1,812.50/x
  3. Step 3: Cross multiply
    2,808.40x = 3,874.87 × 1,812.50
  4. Step 4: Simplify right side
    2,808.40x = 7,023,192.81
  5. Step 5: Solve for x
    x = 7,023,192.81/2,808.40
  6. Step 6: Final answer
    x = 2,500.79

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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.