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Finding the Fourth Proportional to 6,394.88, 8,822.40 and 4,035.72

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Solution

The fourth proportional to 6,394.88, 8,822.40 and 4,035.72 is: 5,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.88 : 8,822.40 = 4,035.72 : x
  2. Step 2: Convert to fraction form
    6,394.88/8,822.40 = 4,035.72/x
  3. Step 3: Cross multiply
    6,394.88x = 8,822.40 × 4,035.72
  4. Step 4: Simplify right side
    6,394.88x = 35,604,736.13
  5. Step 5: Solve for x
    x = 35,604,736.13/6,394.88
  6. Step 6: Final answer
    x = 5,567.69

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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.