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Finding the Fourth Proportional to 2,607.90, 3,911.85 and 633.53

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Solution

The fourth proportional to 2,607.90, 3,911.85 and 633.53 is: 950.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.90 : 3,911.85 = 633.53 : x
  2. Step 2: Convert to fraction form
    2,607.90/3,911.85 = 633.53/x
  3. Step 3: Cross multiply
    2,607.90x = 3,911.85 × 633.53
  4. Step 4: Simplify right side
    2,607.90x = 2,478,251.60
  5. Step 5: Solve for x
    x = 2,478,251.60/2,607.90
  6. Step 6: Final answer
    x = 950.29

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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.