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Finding the Fourth Proportional to 3,873, 5,347.50 and 2,382.90

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Solution

The fourth proportional to 3,873, 5,347.50 and 2,382.90 is: 3,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873 : 5,347.50 = 2,382.90 : x
  2. Step 2: Convert to fraction form
    3,873/5,347.50 = 2,382.90/x
  3. Step 3: Cross multiply
    3,873x = 5,347.50 × 2,382.90
  4. Step 4: Simplify right side
    3,873x = 12,742,557.75
  5. Step 5: Solve for x
    x = 12,742,557.75/3,873
  6. Step 6: Final answer
    x = 3,290.10

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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.