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Finding the Fourth Proportional to 2,902.50, 4,005.45 and 1,660.50

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Solution

The fourth proportional to 2,902.50, 4,005.45 and 1,660.50 is: 2,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.50 : 4,005.45 = 1,660.50 : x
  2. Step 2: Convert to fraction form
    2,902.50/4,005.45 = 1,660.50/x
  3. Step 3: Cross multiply
    2,902.50x = 4,005.45 × 1,660.50
  4. Step 4: Simplify right side
    2,902.50x = 6,651,049.73
  5. Step 5: Solve for x
    x = 6,651,049.73/2,902.50
  6. Step 6: Final answer
    x = 2,291.49

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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.