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Finding the Fourth Proportional to 3,607.40, 5,411 and 974.90

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Solution

The fourth proportional to 3,607.40, 5,411 and 974.90 is: 1,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.40 : 5,411 = 974.90 : x
  2. Step 2: Convert to fraction form
    3,607.40/5,411 = 974.90/x
  3. Step 3: Cross multiply
    3,607.40x = 5,411 × 974.90
  4. Step 4: Simplify right side
    3,607.40x = 5,275,183.90
  5. Step 5: Solve for x
    x = 5,275,183.90/3,607.40
  6. Step 6: Final answer
    x = 1,462.32

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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.