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Finding the Fourth Proportional to 2,430, 3,354.48 and 1,591.92

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Solution

The fourth proportional to 2,430, 3,354.48 and 1,591.92 is: 2,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430 : 3,354.48 = 1,591.92 : x
  2. Step 2: Convert to fraction form
    2,430/3,354.48 = 1,591.92/x
  3. Step 3: Cross multiply
    2,430x = 3,354.48 × 1,591.92
  4. Step 4: Simplify right side
    2,430x = 5,340,063.80
  5. Step 5: Solve for x
    x = 5,340,063.80/2,430
  6. Step 6: Final answer
    x = 2,197.56

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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.