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Finding the Fourth Proportional to 2,800.42, 3,863.28 and 1,806.01

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Solution

The fourth proportional to 2,800.42, 3,863.28 and 1,806.01 is: 2,491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.42 : 3,863.28 = 1,806.01 : x
  2. Step 2: Convert to fraction form
    2,800.42/3,863.28 = 1,806.01/x
  3. Step 3: Cross multiply
    2,800.42x = 3,863.28 × 1,806.01
  4. Step 4: Simplify right side
    2,800.42x = 6,977,113.28
  5. Step 5: Solve for x
    x = 6,977,113.28/2,800.42
  6. Step 6: Final answer
    x = 2,491.46

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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.