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Finding the Fourth Proportional to 2,606.90, 3,911.08 and 1,048

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Solution

The fourth proportional to 2,606.90, 3,911.08 and 1,048 is: 1,572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.90 : 3,911.08 = 1,048 : x
  2. Step 2: Convert to fraction form
    2,606.90/3,911.08 = 1,048/x
  3. Step 3: Cross multiply
    2,606.90x = 3,911.08 × 1,048
  4. Step 4: Simplify right side
    2,606.90x = 4,098,811.84
  5. Step 5: Solve for x
    x = 4,098,811.84/2,606.90
  6. Step 6: Final answer
    x = 1,572.29

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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.