Home / 3,838.64-5,746.56-2,102

Finding the Fourth Proportional to 3,838.64, 5,746.56 and 2,102

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Solution

The fourth proportional to 3,838.64, 5,746.56 and 2,102 is: 3,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.64 : 5,746.56 = 2,102 : x
  2. Step 2: Convert to fraction form
    3,838.64/5,746.56 = 2,102/x
  3. Step 3: Cross multiply
    3,838.64x = 5,746.56 × 2,102
  4. Step 4: Simplify right side
    3,838.64x = 12,079,269.12
  5. Step 5: Solve for x
    x = 12,079,269.12/3,838.64
  6. Step 6: Final answer
    x = 3,146.76

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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.