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Finding the Fourth Proportional to 3,813.92, 5,262.95 and 2,135.32

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Solution

The fourth proportional to 3,813.92, 5,262.95 and 2,135.32 is: 2,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.92 : 5,262.95 = 2,135.32 : x
  2. Step 2: Convert to fraction form
    3,813.92/5,262.95 = 2,135.32/x
  3. Step 3: Cross multiply
    3,813.92x = 5,262.95 × 2,135.32
  4. Step 4: Simplify right side
    3,813.92x = 11,238,082.39
  5. Step 5: Solve for x
    x = 11,238,082.39/3,813.92
  6. Step 6: Final answer
    x = 2,946.60

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1.5x scale

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.