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Finding the Fourth Proportional to 1,720.94, 2,579.87 and 1,281.66

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Solution

The fourth proportional to 1,720.94, 2,579.87 and 1,281.66 is: 1,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.94 : 2,579.87 = 1,281.66 : x
  2. Step 2: Convert to fraction form
    1,720.94/2,579.87 = 1,281.66/x
  3. Step 3: Cross multiply
    1,720.94x = 2,579.87 × 1,281.66
  4. Step 4: Simplify right side
    1,720.94x = 3,306,509.71
  5. Step 5: Solve for x
    x = 3,306,509.71/1,720.94
  6. Step 6: Final answer
    x = 1,921.34

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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.