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Finding the Fourth Proportional to 1,909.76, 2,635.32 and 1,123.76

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Solution

The fourth proportional to 1,909.76, 2,635.32 and 1,123.76 is: 1,550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.76 : 2,635.32 = 1,123.76 : x
  2. Step 2: Convert to fraction form
    1,909.76/2,635.32 = 1,123.76/x
  3. Step 3: Cross multiply
    1,909.76x = 2,635.32 × 1,123.76
  4. Step 4: Simplify right side
    1,909.76x = 2,961,467.20
  5. Step 5: Solve for x
    x = 2,961,467.20/1,909.76
  6. Step 6: Final answer
    x = 1,550.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.