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Finding the Fourth Proportional to 3,390.99, 4,676.50 and 2,800.50

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Solution

The fourth proportional to 3,390.99, 4,676.50 and 2,800.50 is: 3,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.99 : 4,676.50 = 2,800.50 : x
  2. Step 2: Convert to fraction form
    3,390.99/4,676.50 = 2,800.50/x
  3. Step 3: Cross multiply
    3,390.99x = 4,676.50 × 2,800.50
  4. Step 4: Simplify right side
    3,390.99x = 13,096,538.25
  5. Step 5: Solve for x
    x = 13,096,538.25/3,390.99
  6. Step 6: Final answer
    x = 3,862.16

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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.