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Finding the Fourth Proportional to 2,969.12, 4,454 and 1,673.12

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Solution

The fourth proportional to 2,969.12, 4,454 and 1,673.12 is: 2,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.12 : 4,454 = 1,673.12 : x
  2. Step 2: Convert to fraction form
    2,969.12/4,454 = 1,673.12/x
  3. Step 3: Cross multiply
    2,969.12x = 4,454 × 1,673.12
  4. Step 4: Simplify right side
    2,969.12x = 7,452,076.48
  5. Step 5: Solve for x
    x = 7,452,076.48/2,969.12
  6. Step 6: Final answer
    x = 2,509.86

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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.