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Finding the Fourth Proportional to 5,078.40, 6,992.64 and 3,821.28

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Solution

The fourth proportional to 5,078.40, 6,992.64 and 3,821.28 is: 5,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.40 : 6,992.64 = 3,821.28 : x
  2. Step 2: Convert to fraction form
    5,078.40/6,992.64 = 3,821.28/x
  3. Step 3: Cross multiply
    5,078.40x = 6,992.64 × 3,821.28
  4. Step 4: Simplify right side
    5,078.40x = 26,720,835.38
  5. Step 5: Solve for x
    x = 26,720,835.38/5,078.40
  6. Step 6: Final answer
    x = 5,261.66

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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.