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Finding the Fourth Proportional to 2,735.71, 4,102.55 and 980.24

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Solution

The fourth proportional to 2,735.71, 4,102.55 and 980.24 is: 1,469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.71 : 4,102.55 = 980.24 : x
  2. Step 2: Convert to fraction form
    2,735.71/4,102.55 = 980.24/x
  3. Step 3: Cross multiply
    2,735.71x = 4,102.55 × 980.24
  4. Step 4: Simplify right side
    2,735.71x = 4,021,461.87
  5. Step 5: Solve for x
    x = 4,021,461.87/2,735.71
  6. Step 6: Final answer
    x = 1,469.99

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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.