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Finding the Fourth Proportional to 2,098.85, 3,148.20 and 1,004

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Solution

The fourth proportional to 2,098.85, 3,148.20 and 1,004 is: 1,505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.85 : 3,148.20 = 1,004 : x
  2. Step 2: Convert to fraction form
    2,098.85/3,148.20 = 1,004/x
  3. Step 3: Cross multiply
    2,098.85x = 3,148.20 × 1,004
  4. Step 4: Simplify right side
    2,098.85x = 3,160,792.80
  5. Step 5: Solve for x
    x = 3,160,792.80/2,098.85
  6. Step 6: Final answer
    x = 1,505.96

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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.