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Finding the Fourth Proportional to 2,885, 4,330.38 and 2,107.40

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Solution

The fourth proportional to 2,885, 4,330.38 and 2,107.40 is: 3,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885 : 4,330.38 = 2,107.40 : x
  2. Step 2: Convert to fraction form
    2,885/4,330.38 = 2,107.40/x
  3. Step 3: Cross multiply
    2,885x = 4,330.38 × 2,107.40
  4. Step 4: Simplify right side
    2,885x = 9,125,842.81
  5. Step 5: Solve for x
    x = 9,125,842.81/2,885
  6. Step 6: Final answer
    x = 3,163.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.