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Finding the Fourth Proportional to 4,099, 6,149.40 and 1,325.92

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Solution

The fourth proportional to 4,099, 6,149.40 and 1,325.92 is: 1,989.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099 : 6,149.40 = 1,325.92 : x
  2. Step 2: Convert to fraction form
    4,099/6,149.40 = 1,325.92/x
  3. Step 3: Cross multiply
    4,099x = 6,149.40 × 1,325.92
  4. Step 4: Simplify right side
    4,099x = 8,153,612.45
  5. Step 5: Solve for x
    x = 8,153,612.45/4,099
  6. Step 6: Final answer
    x = 1,989.17

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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.