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Finding the Fourth Proportional to 2,102.64, 3,156 and 1,007.76

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Solution

The fourth proportional to 2,102.64, 3,156 and 1,007.76 is: 1,512.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.64 : 3,156 = 1,007.76 : x
  2. Step 2: Convert to fraction form
    2,102.64/3,156 = 1,007.76/x
  3. Step 3: Cross multiply
    2,102.64x = 3,156 × 1,007.76
  4. Step 4: Simplify right side
    2,102.64x = 3,180,490.56
  5. Step 5: Solve for x
    x = 3,180,490.56/2,102.64
  6. Step 6: Final answer
    x = 1,512.62

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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.